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Raising a Power to a Power

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

What is the value of x in this simplified expression?7-9 · 7-3 = 7xx =

Answer
A
–12
B
–6
C
3
D
27

Explanation

When multiplying powers with the same base, add their exponents: 7⁻⁹ · 7⁻³ = 7⁻⁹⁺⁽⁻³⁾ = 7⁻¹². Therefore, x = −12, which is choice A.

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