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Exponents

8 questions · MediumHard

Exponents are repeated multiplication. A handful of laws simplify almost every expression with powers.

💡 Quick tricks

a^m × a^n = a^(m+n) and a^m ÷ a^n = a^(m−n).
(a^m)^n = a^(mn).
a^0 = 1 for any non-zero a, and a^(−n) = 1/a^n.

8 questions

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Tap an answer. You'll see if it's right, and why. Easy ones come first.

Q1Medium

5³ × 5² = 5^?
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Answer: D. 5
💡 Same base: add the powers, 3 + 2 = 5.
Q2Medium

5⁵ ÷ 5³ = 5^?
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Answer: C. 2
💡 Same base: subtract the powers, 5 − 3 = 2.
Q3Medium

2⁶ × 2⁷ = 2^?
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Answer: C. 13
💡 Same base: add the powers, 6 + 7 = 13.
Q4Medium

2⁴ × 2⁴ = 2^?
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Answer: C. 8
💡 Same base: add the powers, 4 + 4 = 8.

Q5Hard

(2³)³ ÷ 2⁵ = ?
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Answer: D. 16
💡 (2³)³ = 2⁹; then 9 − 5 = 4, and 2⁴ = 16.
Q6Hard

(2³)² ÷ 2¹ = ?
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Answer: C. 32
💡 (2³)² = 2⁶; then 6 − 1 = 5, and 2⁵ = 32.
Q7Hard

(2³)³ ÷ 2⁷ = ?
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Answer: B. 4
💡 (2³)³ = 2⁹; then 9 − 7 = 2, and 2² = 4.
Q8Hard

(3³)² ÷ 3⁴ = ?
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Answer: D. 9
💡 (3³)² = 3⁶; then 6 − 4 = 2, and 3² = 9.

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