Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation40 = 2^2 × 10, so √40 = 2√10.
AntonymsGMATGREMathematicsPractice Set
3
What is the antonym of 'timorous'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
4
What is the antonym of 'apathy'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
5
What is the antonym of 'doleful'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
6
Express 1,900,000,000 in scientific notation.
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMove the decimal point so only one nonzero digit remains before it: 1,900,000,000 = 1.9 × 10^9.
AntonymsGMATGREMathematicsPractice Set
7
Which is greater: 6^6 or 4^6?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation6^6 = 46656 and 4^6 = 4096, so 6^6 is greater.
AntonymsGMATGREMathematicsPractice Set
8
What is the antonym of 'bellicose'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
9
What is the antonym of 'destitute'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
10
Simplify: 4^5 × 4^2
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen multiplying powers with the same base, add the exponents: 4^5 × 4^2 = 4^(5+2) = 4^7.
AntonymsGMATGREMathematicsPractice Set
— Sponsored —
11
Which is greater: 6.8 × 10^3 or 5.7 × 10^9?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationComparing exponents first: since the exponents differ, the larger exponent wins — 5.7 × 10^9 is greater.
AntonymsGMATGREMathematicsPractice Set
12
What is the antonym of 'facilitate'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
13
Which is greater: 8.0 × 10^7 or 3.5 × 10^5?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationComparing exponents first: since the exponents differ, the larger exponent wins — 8.0 × 10^7 is greater.
AntonymsGMATGREMathematicsPractice Set
14
What is the antonym of 'auspicious'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
15
What is the antonym of 'firm'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
16
Express 45,000 in scientific notation.
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMove the decimal point so only one nonzero digit remains before it: 45,000 = 4.5 × 10^4.
AntonymsGMATGREMathematicsPractice Set
17
What is the antonym of 'ordered'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
18
What is the antonym of 'lassitude'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
19
What is the antonym of 'avarice'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
20
What is 4^-4 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationA negative exponent means take the reciprocal: 4^-4 = 1/4^4 = 1/256.
AntonymsGMATGREMathematicsPractice Set
— Sponsored —
21
What is the value of 4^2?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation4^2 = 4 multiplied by itself 2 times = 16.
AntonymsGMATGREMathematicsPractice Set
22
What is the antonym of 'prudent'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
23
What is (9.2 × 10^8) × (1.9 × 10^4) in scientific notation?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMultiply the mantissas (9.2 × 1.9 = 17.48) and add the exponents (8 + 4 = 13), adjusting so the mantissa stays between 1 and 10: 1.75 × 10^13.
AntonymsGMATGREMathematicsPractice Set
24
Simplify: 7^6 ÷ 7^5
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen dividing powers with the same base, subtract the exponents: 7^6 ÷ 7^5 = 7^(6-5) = 7^1.
AntonymsGMATGREMathematicsPractice Set
25
What is the antonym of 'acclaim'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
26
What is the antonym of 'wise'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
27
What is the antonym of 'tedious'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
28
What is the antonym of 'dirge'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
29
Simplify: 9^8 × 9^6
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen multiplying powers with the same base, add the exponents: 9^8 × 9^6 = 9^(8+6) = 9^14.
AntonymsGMATGREMathematicsPractice Set
30
What is the antonym of 'eschew'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
— Sponsored —
31
Express 9,400,000 in scientific notation.
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMove the decimal point so only one nonzero digit remains before it: 9,400,000 = 9.4 × 10^6.
AntonymsGMATGREMathematicsPractice Set
32
Which is greater: 4^2 or 3^2?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation4^2 = 16 and 3^2 = 9, so 4^2 is greater.
AntonymsGMATGREMathematicsPractice Set
33
What is the antonym of 'subtle'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
34
Which is greater: 8.2 × 10^7 or 7.2 × 10^5?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationComparing exponents first: since the exponents differ, the larger exponent wins — 8.2 × 10^7 is greater.
AntonymsGMATGREMathematicsPractice Set
35
Which is greater: 7.1 × 10^9 or 2.6 × 10^8?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationComparing exponents first: since the exponents differ, the larger exponent wins — 7.1 × 10^9 is greater.
AntonymsGMATGREMathematicsPractice Set
36
Simplify: 7^3 × 7^3
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen multiplying powers with the same base, add the exponents: 7^3 × 7^3 = 7^(3+3) = 7^6.
AntonymsGMATGREMathematicsPractice Set
37
What is (2.6 × 10^5) × (9.8 × 10^5) in scientific notation?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMultiply the mantissas (2.6 × 9.8 = 25.48) and add the exponents (5 + 5 = 11), adjusting so the mantissa stays between 1 and 10: 2.55 × 10^11.
AntonymsGMATGREMathematicsPractice Set
38
What is the antonym of 'greedy'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
39
Simplify: (8^5)^3
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen raising a power to another power, multiply the exponents: (8^5)^3 = 8^(5×3) = 8^15.
AntonymsGMATGREMathematicsPractice Set
40
What is the antonym of 'evening'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
— Sponsored —
41
What is the antonym of 'haphazard'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
42
Which is greater: 2.5 × 10^6 or 4.6 × 10^3?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationComparing exponents first: since the exponents differ, the larger exponent wins — 2.5 × 10^6 is greater.
AntonymsGMATGREMathematicsPractice Set
43
What is 188^0 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationAny nonzero number raised to the power 0 equals 1, by definition.
AntonymsGMATGREMathematicsPractice Set
44
What is the antonym of 'north'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
45
What is (4.9 × 10^2) × (6.3 × 10^2) in scientific notation?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMultiply the mantissas (4.9 × 6.3 = 30.87) and add the exponents (2 + 2 = 5), adjusting so the mantissa stays between 1 and 10: 3.09 × 10^5.
AntonymsGMATGREMathematicsPractice Set
46
What is (3/8)^2 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation(3/8)^2 = 3^2/8^2 = 9/64.
AntonymsGMATGREMathematicsPractice Set
47
What is the antonym of 'polemic'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
48
What is the antonym of 'indignant'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
49
What is the antonym of 'steadfast'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
50
What is the antonym of 'retribution'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
— Sponsored —
51
What is (4.7 × 10^4) ÷ (3.9 × 10^2) in scientific notation?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationDivide the mantissas (4.7 ÷ 3.9 ≈ 1.21) and subtract the exponents (4 − 2 = 2), adjusting the mantissa as needed: 1.21 × 10^2.
AntonymsGMATGREMathematicsPractice Set
52
What is the antonym of 'strong'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
53
What is the antonym of 'shy'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
54
What is the antonym of 'expunge'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
55
√5 × √2 is equivalent to which of the following?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationBy the product rule for radicals, √a × √b = √(ab), so √5 × √2 = √10.
AntonymsGMATGREMathematicsPractice Set
56
What is (4.3 × 10^8) × (9.0 × 10^8) in scientific notation?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMultiply the mantissas (4.3 × 9.0 = 38.7) and add the exponents (8 + 8 = 17), adjusting so the mantissa stays between 1 and 10: 3.87 × 10^17.
AntonymsGMATGREMathematicsPractice Set
57
What is the antonym of 'elegant'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
58
Express 91,000 in scientific notation.
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMove the decimal point so only one nonzero digit remains before it: 91,000 = 9.1 × 10^4.
AntonymsGMATGREMathematicsPractice Set
59
What is (5.1 × 10^7) ÷ (2.9 × 10^2) in scientific notation?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationDivide the mantissas (5.1 ÷ 2.9 ≈ 1.76) and subtract the exponents (7 − 2 = 5), adjusting the mantissa as needed: 1.76 × 10^5.
AntonymsGMATGREMathematicsPractice Set
60
What is 360^0 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationAny nonzero number raised to the power 0 equals 1, by definition.
AntonymsGMATGREMathematicsPractice Set
— Sponsored —
61
Express 16,000,000 in scientific notation.
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMove the decimal point so only one nonzero digit remains before it: 16,000,000 = 1.6 × 10^7.
AntonymsGMATGREMathematicsPractice Set
62
What is the antonym of 'kind'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
63
What is the antonym of 'outgoing'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
64
Simplify: 5^2 × 5^7
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen multiplying powers with the same base, add the exponents: 5^2 × 5^7 = 5^(2+7) = 5^9.
AntonymsGMATGREMathematicsPractice Set
65
Which is greater: 5.9 × 10^6 or 4.7 × 10^5?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationComparing exponents first: since the exponents differ, the larger exponent wins — 5.9 × 10^6 is greater.
AntonymsGMATGREMathematicsPractice Set
66
What is the antonym of 'machination'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
67
What is the antonym of 'officious'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
68
Simplify: 8^5 × 8^5
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen multiplying powers with the same base, add the exponents: 8^5 × 8^5 = 8^(5+5) = 8^10.
AntonymsGMATGREMathematicsPractice Set
69
What is the antonym of 'docile'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
70
What is the antonym of 'torpor'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
— Sponsored —
71
Simplify √336 to its simplest radical form.
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation336 = 4^2 × 21, so √336 = 4√21.
AntonymsGMATGREMathematicsPractice Set
72
Which is greater: 6^5 or 6^6?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation6^5 = 7776 and 6^6 = 46656, so 6^6 is greater.
AntonymsGMATGREMathematicsPractice Set
73
What is 3.4 × 10^8 written as an ordinary number?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation3.4 × 10^8 means moving the decimal point 8 places to the right, giving 340,000,000.
AntonymsGMATGREMathematicsPractice Set
74
What is the antonym of 'audacious'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
75
What is the antonym of 'culpable'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
76
Simplify: 3^2 × 3^5
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen multiplying powers with the same base, add the exponents: 3^2 × 3^5 = 3^(2+5) = 3^7.
AntonymsGMATGREMathematicsPractice Set
77
What is 10^4 × 10^3 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen multiplying powers of 10, add the exponents: 10^4 × 10^3 = 10^7.
AntonymsGMATGREMathematicsPractice Set
78
Express 9,200 in scientific notation.
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMove the decimal point so only one nonzero digit remains before it: 9,200 = 9.2 × 10^3.
AntonymsGMATGREMathematicsPractice Set
79
What is the antonym of 'aggrandise'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
80
What is (3.8 × 10^10) ÷ (1.5 × 10^9) in scientific notation?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationDivide the mantissas (3.8 ÷ 1.5 ≈ 2.53) and subtract the exponents (10 − 9 = 1), adjusting the mantissa as needed: 2.53 × 10^1.
AntonymsGMATGREMathematicsPractice Set
— Sponsored —
81
What is the antonym of 'mendacity'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
82
What is the antonym of 'relaxed'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
83
What is the antonym of 'decisive'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
84
√2 × √7 is equivalent to which of the following?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationBy the product rule for radicals, √a × √b = √(ab), so √2 × √7 = √14.
AntonymsGMATGREMathematicsPractice Set
85
What is the antonym of 'denouement'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
86
What is the antonym of 'schism'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
87
What is the antonym of 'suppression'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
88
Simplify: 5^4 × 5^6
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen multiplying powers with the same base, add the exponents: 5^4 × 5^6 = 5^(4+6) = 5^10.
AntonymsGMATGREMathematicsPractice Set
89
Simplify √168 to its simplest radical form.
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation168 = 2^2 × 42, so √168 = 2√42.
AntonymsGMATGREMathematicsPractice Set
90
What is 10^1 × 10^6 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen multiplying powers of 10, add the exponents: 10^1 × 10^6 = 10^7.
AntonymsGMATGREMathematicsPractice Set
— Sponsored —
91
Simplify: 6^5 × 6^6
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen multiplying powers with the same base, add the exponents: 6^5 × 6^6 = 6^(5+6) = 6^11.
AntonymsGMATGREMathematicsPractice Set
92
What is (4/5)^4 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation(4/5)^4 = 4^4/5^4 = 256/625.
AntonymsGMATGREMathematicsPractice Set
93
What is 273^0 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationAny nonzero number raised to the power 0 equals 1, by definition.
AntonymsGMATGREMathematicsPractice Set
94
What is the antonym of 'blend'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
95
Simplify: 6^8 ÷ 6^6
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen dividing powers with the same base, subtract the exponents: 6^8 ÷ 6^6 = 6^(8-6) = 6^2.
AntonymsGMATGREMathematicsPractice Set
96
What is the value of (3 × 7)^3?
Arithmetic - Powers and Roots (Exponents, Scienti…