Question

Represent the following expressions as a power of the number a (a≠0):



(a^−2·a^−2)^−2

how do I solve this brain destroyer?

Answer 1

Just use the rules of exponents:
a^m * a^n = a^(m+n)
(a^m)^n = a^(m*n)
so,
(a^-2 * a^-2)^-2 = (a^-4)^-2 = a^8