Exponent Law question

Question

Evaluate. Make sure to include a step expressing each exponent as a root.

(25a^2)^−1/2

Answer 1

1. (25a²)^-1/2 = 1/(sqrt(25a²))
2. 1/(sqrt(25a²)) = 1/(sqrt(25)*sqrt(a²))
3. 1/(sqrt(25)*sqrt(a²)) = 1/(sqrt(5²)*sqrt(a²))
4. 1/(sqrt(25)*sqrt(a²)) = 1/(+/-5 * +/-a)
5. 1/(+/-5 * +/-a) = 1/(5a),-1/(5a)