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
4
Simplify: 5^8 × 5^5
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen multiplying powers with the same base, add the exponents: 5^8 × 5^5 = 5^(8+5) = 5^13.
AntonymsGMATGREMathematicsPractice Set
5
What is 45^0 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationAny nonzero number raised to the power 0 equals 1, by definition.
AntonymsGMATGREMathematicsPractice Set
6
What is the antonym of 'transient'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
7
Between which two consecutive integers does √229 lie?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation15^2 = 225 and 16^2 = 256, and since 225 < 229 < 256, √229 lies between 15 and 16.
AntonymsGMATGREMathematicsPractice Set
8
What is 8.8 × 10^8 written as an ordinary number?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation8.8 × 10^8 means moving the decimal point 8 places to the right, giving 880,000,000.
AntonymsGMATGREMathematicsPractice Set
9
What is the antonym of 'paradox'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
10
Which is greater: 2.4 × 10^8 or 6.9 × 10^5?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationComparing exponents first: since the exponents differ, the larger exponent wins — 2.4 × 10^8 is greater.
AntonymsGMATGREMathematicsPractice Set
— Sponsored —
11
Which is greater: 8.0 × 10^4 or 2.7 × 10^2?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationComparing exponents first: since the exponents differ, the larger exponent wins — 8.0 × 10^4 is greater.
AntonymsGMATGREMathematicsPractice Set
12
What is the antonym of 'concrete'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
13
What is the antonym of 'discerning'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
14
What is the antonym of 'approbation'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
15
√3 × √8 is equivalent to which of the following?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationBy the product rule for radicals, √a × √b = √(ab), so √3 × √8 = √24.
AntonymsGMATGREMathematicsPractice Set
16
What is the antonym of 'ahead'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
17
What is the antonym of 'affable'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
18
What is the antonym of 'dangerous'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
19
What is the antonym of 'prominent'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
20
What is 6561^(2/4) equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation6561^(2/4) means take the 4-th root of 6561 (which is 9), then raise it to the 2 power: 9^2 = 81.
AntonymsGMATGREMathematicsPractice Set
— Sponsored —
21
What is (9.0 × 10^9) ÷ (4.8 × 10^2) in scientific notation?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationDivide the mantissas (9.0 ÷ 4.8 ≈ 1.88) and subtract the exponents (9 − 2 = 7), adjusting the mantissa as needed: 1.88 × 10^7.
AntonymsGMATGREMathematicsPractice Set
22
Which is greater: 4.3 × 10^7 or 3.9 × 10^2?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationComparing exponents first: since the exponents differ, the larger exponent wins — 4.3 × 10^7 is greater.
AntonymsGMATGREMathematicsPractice Set
23
What is the antonym of 'enervate'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
24
What is the antonym of 'cold'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
25
What is the antonym of 'propitious'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
26
What is the antonym of 'risk'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
27
What is the antonym of 'gravitas'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
28
What is the antonym of 'horrible'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
29
What is the antonym of 'wholesome'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
30
What is (3/7)^2 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation(3/7)^2 = 3^2/7^2 = 9/49.
AntonymsGMATGREMathematicsPractice Set
— Sponsored —
31
What is the antonym of 'enervate'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
32
What is (5.8 × 10^5) × (2.0 × 10^7) in scientific notation?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMultiply the mantissas (5.8 × 2.0 = 11.6) and add the exponents (5 + 7 = 13), adjusting so the mantissa stays between 1 and 10: 1.16 × 10^13.
AntonymsGMATGREMathematicsPractice Set
33
What is 348^0 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationAny nonzero number raised to the power 0 equals 1, by definition.
AntonymsGMATGREMathematicsPractice Set
34
What is the antonym of 'lethargy'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
35
Express 980,000 in scientific notation.
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMove the decimal point so only one nonzero digit remains before it: 980,000 = 9.8 × 10^5.
AntonymsGMATGREMathematicsPractice Set
36
What is the antonym of 'haphazard'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
37
What is the antonym of 'dusk'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
38
What is the antonym of 'bravery'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
39
What is (3.5 × 10^5) × (8.9 × 10^6) in scientific notation?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMultiply the mantissas (3.5 × 8.9 = 31.15) and add the exponents (5 + 6 = 12), adjusting so the mantissa stays between 1 and 10: 3.11 × 10^12.
AntonymsGMATGREMathematicsPractice Set
40
What is 294^0 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationAny nonzero number raised to the power 0 equals 1, by definition.
AntonymsGMATGREMathematicsPractice Set
— Sponsored —
41
Which is greater: 6.1 × 10^9 or 5.1 × 10^9?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationComparing exponents first: the exponents are equal, so compare the mantissas — 6.1 × 10^9 is greater.
AntonymsGMATGREMathematicsPractice Set
42
What is the antonym of 'diurnal'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
43
Between which two consecutive integers does √96 lie?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation9^2 = 81 and 10^2 = 100, and since 81 < 96 < 100, √96 lies between 9 and 10.
AntonymsGMATGREMathematicsPractice Set
44
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
45
What is the antonym of 'advance'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
46
What is the antonym of 'expatiate'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
47
What is the antonym of 'hasten'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
48
What is the antonym of 'abash'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
49
What is (6/13)^2 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation(6/13)^2 = 6^2/13^2 = 36/169.
AntonymsGMATGREMathematicsPractice Set
50
Express 38,000 in scientific notation.
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMove the decimal point so only one nonzero digit remains before it: 38,000 = 3.8 × 10^4.
AntonymsGMATGREMathematicsPractice Set
— Sponsored —
51
What is the antonym of 'attrition'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
52
√6 × √5 is equivalent to which of the following?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationBy the product rule for radicals, √a × √b = √(ab), so √6 × √5 = √30.
AntonymsGMATGREMathematicsPractice Set
53
Simplify: 4^8 × 4^2
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen multiplying powers with the same base, add the exponents: 4^8 × 4^2 = 4^(8+2) = 4^10.
AntonymsGMATGREMathematicsPractice Set
54
What is the antonym of 'tractable'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
55
What is 330^0 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationAny nonzero number raised to the power 0 equals 1, by definition.
AntonymsGMATGREMathematicsPractice Set
56
What is 862^0 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationAny nonzero number raised to the power 0 equals 1, by definition.
AntonymsGMATGREMathematicsPractice Set
57
What is the antonym of 'natural'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
58
What is the antonym of 'eminent'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
59
What is the antonym of 'minimum'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
60
√8 × √6 is equivalent to which of the following?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationBy the product rule for radicals, √a × √b = √(ab), so √8 × √6 = √48.
AntonymsGMATGREMathematicsPractice Set
— Sponsored —
61
What is the antonym of 'evil'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
62
What is the antonym of 'cantankerous'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
63
Express 1,800,000 in scientific notation.
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationMove the decimal point so only one nonzero digit remains before it: 1,800,000 = 1.8 × 10^6.
AntonymsGMATGREMathematicsPractice Set
64
What is 935^0 equal to?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationAny nonzero number raised to the power 0 equals 1, by definition.
AntonymsGMATGREMathematicsPractice Set
65
What is the antonym of 'break'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
66
What is the antonym of 'dauntless'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
67
What is the antonym of 'insecure'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
68
What is the antonym of 'buoyant'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
69
What is the antonym of 'penchant'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
70
What is the antonym of 'revile'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
— Sponsored —
71
What is (8.4 × 10^4) ÷ (3.0 × 10^3) in scientific notation?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationDivide the mantissas (8.4 ÷ 3.0 ≈ 2.8) and subtract the exponents (4 − 3 = 1), adjusting the mantissa as needed: 2.8 × 10^1.
AntonymsGMATGREMathematicsPractice Set
72
What is the antonym of 'unlucky'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
73
What is the antonym of 'antagonise'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
74
√8 × √10 is equivalent to which of the following?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationBy the product rule for radicals, √a × √b = √(ab), so √8 × √10 = √80.
AntonymsGMATGREMathematicsPractice Set
75
What is the antonym of 'exemplary'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
76
Simplify: 5^13 ÷ 5^8
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen dividing powers with the same base, subtract the exponents: 5^13 ÷ 5^8 = 5^(13-8) = 5^5.
AntonymsGMATGREMathematicsPractice Set
77
What is the antonym of 'derelict'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
78
What is the antonym of 'accuse'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
79
What is the antonym of 'overt'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
80
What is the antonym of 'pacifist'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
— Sponsored —
81
Simplify: (4^5)^3
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen raising a power to another power, multiply the exponents: (4^5)^3 = 4^(5×3) = 4^15.
AntonymsGMATGREMathematicsPractice Set
82
What is the antonym of 'melancholy'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
83
What is the antonym of 'apprehension'?
Antonyms - Medium
Medium
AntonymsEnglishMediumPractice Set
84
What is the antonym of 'congenital'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
85
Simplify: 9^10 ÷ 9^7
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen dividing powers with the same base, subtract the exponents: 9^10 ÷ 9^7 = 9^(10-7) = 9^3.
AntonymsGMATGREMathematicsPractice Set
86
Simplify: 5^7 × 5^4
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen multiplying powers with the same base, add the exponents: 5^7 × 5^4 = 5^(7+4) = 5^11.
AntonymsGMATGREMathematicsPractice Set
87
What is the antonym of 'tired'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
88
What is the antonym of 'zealous'?
Antonyms - Hard
Medium
AntonymsEnglishHardPractice Set
89
What is the antonym of 'errant'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
90
What is the antonym of 'tumult'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
— Sponsored —
91
Simplify: (3^3)^3
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
ExplanationWhen raising a power to another power, multiply the exponents: (3^3)^3 = 3^(3×3) = 3^9.
AntonymsGMATGREMathematicsPractice Set
92
What is 1.8 × 10^5 written as an ordinary number?
Arithmetic - Powers and Roots (Exponents, Scienti…
Medium
Explanation1.8 × 10^5 means moving the decimal point 5 places to the right, giving 180,000.
AntonymsGMATGREMathematicsPractice Set
93
What is the antonym of 'arrogant'?
Antonyms - Easy
Medium
AntonymsEasyEnglishPractice Set
94
What is the antonym of 'laconic'?
Antonyms - Extreme Hard
Medium
AntonymsEnglishExtreme-HardPractice Set
95
√10 × √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 √10 × √7 = √70.
AntonymsGMATGREMathematicsPractice Set
96
What is the value of (6 × 8)^2?
Arithmetic - Powers and Roots (Exponents, Scienti…