# How do you simplify (2x^-3*x^5) / (3x^2) ?

Apr 11, 2018

$\frac{2}{3}$

#### Explanation:

If you consider the numerator firstly

$2 {x}^{- 3} \times {x}^{5}$

when multiplying terms with powers we effectively add the powers

$\implies$ $2 {x}^{2}$

Now we have $\frac{2 {x}^{2}}{3 {x}^{2}}$ $\implies$ $\frac{2}{3}$

Apr 11, 2018

We have, $\frac{2 \times {x}^{-} 3 \times {x}^{5}}{3 {x}^{2}}$
Or, $\frac{2}{3} \times {x}^{0}$ which comes out to be $2 / 3$