Question

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

Answer 1

Answer:

  b.  4^-3

Step-by-step 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:

  $\dfrac{8^{-3}}{2^{-3}}=\left(\dfrac{8}{2}\right)^{-3}=\boxed{4^{-3}}$

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

  (a/b)^c = (a^c)/(b^c)