# How do you simplify (6 x^9 y^-8)(7 x^2 y^3)?

Jun 6, 2015

$\left(6 {x}^{9} {y}^{-} 8\right) \left(7 {x}^{2} {y}^{3}\right)$

We know that color(blue)(a^m.a^n = a^(m+n)

Applying the above property to the exponents of $x$ and $y$ in the expression:

$\textcolor{b l u e}{{x}^{9.} {x}^{2}} = {x}^{9 + 2}$

$\textcolor{b l u e}{{y}^{-} 8. {y}^{3}} = {y}^{- 8 + 3}$

$= \left(\textcolor{red}{6 . 7}\right) . \textcolor{b l u e}{{x}^{9 + 2}} . \textcolor{g r e e n}{{y}^{- 8 + 3}}$

$= 42 {x}^{11} {y}^{-} 5$