# How do you simplify  1 /( x^3*x^-7)?

Mar 1, 2016

${x}^{4}$.

#### Explanation:

This can be done in either one or two steps:
Using the sum of exponentials; when the same base - $x$ - is multiplied, the exponentials of this base are added. So,
(1)/x^(3+(-7),
$\frac{1}{x} ^ - 4$.
The answer can either be left like this or be further simplified by remembering that when the base is the denominator, the symbol of the exponential can be reversed to make it the numerator. So,
$\frac{1}{x} ^ - 4$,
${x}^{-} \left(- 4\right)$,
${x}^{4}$.

Hope it Helps! :D .