# How do you simplify (5^-1)(3^3)?

Dec 8, 2016

$\left({5}^{-} 1\right) \left({3}^{3}\right) = \textcolor{g r e e n}{\frac{27}{5}} = \textcolor{g r e e n}{5.4}$

#### Explanation:

$\left({5}^{-} 1\right) = \left(\frac{1}{5} ^ 1\right) = \left(\frac{1}{5}\right)$

$\left({3}^{3}\right) = \left(3 \times 3 \times 3\right) = \left(27\right)$

Therefore
$\textcolor{w h i t e}{\text{XXX}} \left({5}^{-} 1\right) \left({3}^{3}\right) = \left(\frac{1}{5}\right) \times \left(27\right) = \frac{27}{5}$

...or if you want this as a decimal fraction:
$\textcolor{w h i t e}{\text{XXX}} \frac{27}{5} = \frac{54}{10} = 5.4$