# How do you simplify (2/3) ^-1?

Jun 10, 2016

$1 \cdot \left(\frac{3}{2}\right) = 1 \left(\frac{1}{2}\right)$

#### Explanation:

To simplify the ${\left(\frac{2}{3}\right)}^{-} 1$

We first eliminate the negative exponent by placing the term in the denominator.

$\frac{1}{\frac{2}{3}} ^ 1$ = $\frac{1}{\frac{2}{3}}$

Now invert the fraction from the denominator and multiply by the numerator.

$1 \cdot \left(\frac{3}{2}\right) = 1 \left(\frac{1}{2}\right)$