Question

Which expression is equivalent to 4^-5 * 4^8

A 4^-2/4^-1

B (4^3)^-1

C 4^2/4^-1

D (4^-1)^3

Answer 1

Answer: C

Step-by-step explanation:

$a^{b} \times a^{c}=a^{b+c}$, so $4^{-5} \times 4^{8}=4^{-5+8}=4^{3}$.

The only option that is equal to this is C