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

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Answer 1 · 2015-06-06T14:54:50

$(6 x^9 y^-8)(7 x^2 y^3)$

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:

$color(blue)(x^9.x^2) = x^(9+2)$

$color(blue)(y^-8.y^3) = y^(-8 +3)$

$=(color(red)(6 . 7)) . color(blue)(x^(9+2)) . color(green)(y^(-8+3))$

$=42x^11y^-5$

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