Question

Simplify 81^1/2
Please simplify and show steps

Answer 1

81^1/2

1. 81^1 = 81 / 2 = 40 and 1/2

or 2. 81^ 1/2 = sqrt of 81

Answer 2

$a^\frac{n}{m}=\sqrt[m]{a^n}\\\\\\81^\frac{1}{2}=\sqrt{81}=9\\\\\\81^\frac{1}{2}=(9^2)^\frac{1}{2}=9^{2\cdot\frac{1}{2}}=9$