Find the equivalent exponential expression. [(-4)^5]^3

asked Nov 10, 2023 59.0k views

1 vote

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8 votes

Answer:

-4^(15)

Explanation:

Given expression:

$\left[(-4)^5\right]^3$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^(bc):$

$\implies (-4)^((5 * 3))$

$\implies (-4)^(15)$

$\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:$

$\implies -4^(15)$

Marinosb answered Nov 14, 2023

3.4k points

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