# How do you simplify x^-4 (x^2 + x - 3)?

Jun 15, 2015

= color(blue)(x^-2 + x^-3 - 3.x^-4

#### Explanation:

${x}^{-} 4 \left({x}^{2} + x - 3\right)$

Here , we need to multiply color(red)(x^-4 with every term within the bracket.

$\textcolor{red}{{x}^{-} 4} . {x}^{2} + \textcolor{red}{{x}^{-} 4} . {x}^{1} - \textcolor{red}{{x}^{-} 4} .3$

Note:
color(blue)(a^m . a^n = a^(m+n)
Applying the above mentioned property to the exponents of $x$

$= {x}^{- 4 + 2} + {x}^{- 4 + 1} - \left({x}^{-} 4\right) .3$
$= {x}^{-} 2 + {x}^{-} 3 - \left({x}^{-} 4\right) .3$
= color(blue)(x^-2 + x^-3 - 3.(x^-4)