Question

How do you rewrite an expression like 1 over 8 to the power of negative 3 end exponent that has a negative exponent in the denominator?

$\frac{1}{8^{-3}}$

Answer 1

Your question is to simplify the following expression

1/(8^-3)

Note that when a number has a negative power, you must flip the placing in the fraction.

So. 1/(8^-3) is the same as 8^3 = 512

512 is your answer, and you're rewritten form is 8³

hope this helps

Answer 2

Ther is a rule that says that if you have a negative exponent the denominator becomes the numerator and the numerator becomes the denominator:

$\frac{1}{8^{-3} }$ ⇒ $\frac{8^{-3} }{1}$ ⇒ $\bf~8^{-3}$

Hope it helped,

BioTeacher101