Question

Divide 4^2/4^6 a. 4^-3 b. 4^3 c. 4^-4 d. 4^4

Answer 1

When dividing indices with the same base, the rule is to subtract the index of the denominator from the index of the numerator, and to keep the base the same.

In this case, the index of our denominator is 6, and the index of the numerator is 2.

2-6 = -4

The answer is $4^{-4}$.