Question

Simplify (5^ -2 ) ^ 4
A. 5 ^ 2
B. 1/(5 ^ 8)
C. 1/(5 ^ 6)
D. 5 ^ 8

Answer 1

The correct answer is B. 1/5⁸

Explanation:

When a number raised to to a power is raised to another power, then the exponents are multiplied, which means that the result is five to the power of negative two times four, or five to the power of eight.

Any negative power indicates that the base is a denominator, so the end result is 1/5⁸