For what integer n is (0.125)^4 equal to 2^n

The required integer n for which (0.125)^4 equal to 2^n is -12

In order to determine the value of "n", we will equate both expressions to have;

(0.125)^4 = 2^n

This can also be written as:

Cancel the base and equate the power to have:

Hence the required integer n for which (0.125)^4 equal to 2^n is -12

Learn more on indices here: link

this answer is !

step-by-step explanation: