Question

Try to evaluate 9−1/2 without using a calculator. Enter your answer as an integer or reduced fraction (no decimals).

Answer 1

Answer:

1/3

Explanation:

Given the below expression;

$9^{-\frac{1}{2}}$

We can go ahead and simplify the above as seen below;

$\frac{1}{9^{\frac{1}{2}}}=\frac{1}{(3^2)^{\frac{1}{2}}}=\frac{1}{3^{2\ast\frac{1}{2}}}=\frac{1}{3^{\frac{2}{2}}}=\frac{1}{3^1}=\frac{1}{3}$