# How do you simplify  x^-4*x^-7*x^5?

Mar 22, 2016

${x}^{-} 6$

#### Explanation:

When two similar numbers are multiplied, their powers can be added.

Therefore:
${x}^{-} 4 \cdot {x}^{-} 7 \cdot {x}^{5} = {x}^{- 4 - 7 + 5}$
$= {x}^{-} 6$

which can then be further simplified to a term without negative exponents as $\frac{1}{x} ^ 6$