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? (1)/(8^(-3))

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?


`(1)/(8^(-3))`

Answer 1

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

`(1)/(8^(-3) )` ⇒
`(8^(-3) )/(1)` ⇒
`\bf~8^(-3)`

Hope it helped,

BioTeacher101

Answer 2

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