Question

Which expression is equivalent to 8^-3/ 2^-3?
a. 4^0
b. 4^-3
c. 1/4^-3
d. 4

Answer 1

b. 4^-3

Explanation:

The expression can be simplified to a number of different levels. Here, it looks like the answer choices want you to simplify it like this:

`(8^(-3))/(2^(-3))=\left((8)/(2)\right)^(-3)=\boxed{4^(-3)}`

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In this case, the applicable rule of exponents is ...

(a/b)^c = (a^c)/(b^c)