Question

[64] to the power -3/2

Answer 1

Answer:

The answer is $\frac{1}{512}$

Step-by-step explanation:

$(64)^{\frac{-3}{2}}=(8^2)^{-\frac{3}{2}}=8^{2\times \frac{-3}{2}}=8^{-3}=\frac{1}{8^3}=\frac{1}{8\times 8\times 8}=\frac{1}{512}$

Answer 2

Answer:

1 / 512

Step-by-step explanation:

(64)^-3/2

((64)^1/2)^-3

$( \sqrt{64) = 8}$

8^-3 = 1/8^3 = 1/512