How do you simplify $(9x^5y^4)(3xy^5)4$ ?

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Answer 1 · 2015-06-22T12:10:52

$= 108 x^color(blue)6y^color(blue)9$

$(9x^5y^4) . (3xy^5) . (4)$
Rearranging these terms:
$= (9 . 3 . 4) . (x^5 . x^1) . (y^4 . y^5)$

Note: $color(blue)(a^m.a^n = a^(m+n)$

Applying the above property to the exponents of $x$ and $y$

$= 108. x^color(blue)((5+1)).y^color(blue)((4+5)$
$= 108 x^color(blue)6y^color(blue)9$

How do you simplify (9x^5y^4)(3xy^5)4 (9x^5y^4)(3xy^5)4?