How do you multiply ${(5 q^{4} r^{2})}^{5}$ $(5q^4r^2)^5$ ?

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Answer 1 · 2015-06-04T09:27:25

${(5 q^{4} r^{2})}^{5}$ $(5q^4r^2)^color(red)(5$

here we multiply $5$ $color(red)5$ with each of the powers within the bracket.

$5^{(1.5)} . q^{(4.5)} . r^{(2.5)}$ $5^((1. color(red)(5))) . q^((4. color(red)(5)) ) . r^((2 . color(red)(5))$

$= 5^{5} q^{20} r^{10}$ $= 5^(5) q^(20) r^(10)$

How do you multiply (5q4r2)5(5q^4r^2)^5?