Question

How do you simplify `(9/16)^(-1/2)`?

Answer 1

`4/3`

Explanation:

As the power holds a negative, this means that we can put 1 over `9/16`, which is equal to `16/9` leaving us with;

`(16/9)^(1/2)`

The power of `1/2` is also another way of writing the square root;

= `sqrt (16/9)`

From here you can find the square roots of 16 and 9, and giving you your final answer;

= `4/3`