Question

Rewrite the expression in the form zn.

Answer 1

Given:

The given expression is $\frac{1}{z^{-\frac{1}{2}}}$

We need to rewrite the expression in the form of $z^n$

Rewriting the expression:

Let us rewrite the given expression.

Let us apply the exponent rule $a^{-b}=\frac{1}{a^{b}}$, we get;

$\frac{1}{z^{-\frac{1}{2}}}=\frac{1}{\frac{1}{z^{\frac{1}{2}}}}$

Let us apply the fraction rule $\frac{1}{\frac{b}{c}}=\frac{c}{b}$

Thus, we have;

$\frac{z^{\frac{1}{2}}}{1}$

Again applying the fraction rule, $\frac{a}{1}=a$, we get;

$z^{\frac{1}{2}}$

Thus, the expression can be rewritten in the form of $z^n$ is $z^{\frac{1}{2}}$