How do you simplify ${(2 x^{2} y^{3})}^{2}$ $(2x^2y^3)^2$ ?

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How do you simplify ${(2 x^{2} y^{3})}^{2}$ $(2x^2y^3)^2$ ?

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Answer 1 · 2015-06-15T12:38:08

$= 4 x^{4} y^{6}$ $=color(red)(4 x^4 y^6$

Explanation:

${(2^{1} x^{2} y^{3})}^{2}$ $(2^1x^2y^3)^color(red)(2$
Here $2$ $color(red)(2$ needs to be multiplied with each term within the bracket:

$= 2^{1.2} x^{2.2} . y^{3.2}$ $=2^(1 . color(red)(2))x^(2. color(red)(2)) . y^(3. color(red)(2)$
$= 2^{2} . x^{4} . y^{6}$ $=2^2. x^4 . y^6$
$= 4 x^{4} y^{6}$ $=color(red)(4 x^4 y^6$

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