Question

Which expressions are equivalent to 4^3 x 4^-5? Choose all answers that are correct. A) 4^-2 B) 1/16 C) 4^-15 D) 0.0625 E) 16^-1 F) 1/4^15 G) 16^-2 H) 1/4^2 I) (4^-1)^2 J) 4^3/4^5......please show how you arrived at each answer please.

Answer 1

The given expression is

$4^3 * 4^{-5}$

Here we have to use the product rule of exponent, according to which  in case of multiplication, we have to add the exponents, that is

$4^3 * 4^{-5} = 4^{3-5} = 4^{-2}$

So out of the given options, correct option is A .