Question

Rewrite the expression in z to the n power. The expression I was given is: 1 over z to the negative 1 half power.

Answer 1

The equivalent expression is;

`\frac{1}{z^{-(1)/(2)}}=z^{(1)/(2)}`

Explanation:

The given expression is:

`\frac{1}{z^{-(1)/(2) }}`

Recall that:

`(1)/(a^(-m))=a^m`

In our case,
`a=z` and
`m=(1)/(2)`.

We use this property of exponent to obtain;

`\frac{1}{z^{-(1)/(2)}}=z^{(1)/(2)}`