4
AssignmentMultiple Choice

Raising a Power to a Power

Question 4 • (AG Q1) Keystone Algebra 1 Block: 26-27 (DDiamond)

Which applies the power of a power rule properly to simplify the expression (710)5?

Answer
A
(710)5= 710 ÷ 5 = 72
B
(710)5= 710 - 5 = 75
C
(710)5= 710 + 5 = 715
D
(710)5= 710 · 5 = 750

Explanation

For a power raised to another power, multiply the exponents: (7¹⁰)⁵ = 7^(10 × 5) = 7⁵⁰. So the correct choice is the one that multiplies 10 by 5, shown as 7¹⁰ · 5 = 7⁵⁰.

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