Question

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

Answer 1

1/3

Step-by-step explanation:

Given the below expression;

`9^{-(1)/(2)}`

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

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