How do you simplify ${(\frac{4 x^{2} y}{3 x y^{2}})}^{4}$ $((4x^2y )/( 3xy^2))^4$ ?

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How do you simplify ${(\frac{4 x^{2} y}{3 x y^{2}})}^{4}$ $((4x^2y )/( 3xy^2))^4$ ?

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Answer 1 · 2018-03-09T06:38:03

$\Rightarrow {(\frac{4 x}{3 y})}^{4} = \frac{256 x^{4}}{81 y^{4}}$ $color(blue)(=> ((4x) / (3y))^4 = (256x^4) / (81y^4)$

Explanation:

${(\frac{4 x^{2} y}{3 x y^{2}})}^{4}$ $((4x^2y) / (3xy^2))^4$

$=> ((4 * color(red)(cancel(color(blue)(x))) * color(red)(x) * color(red)(cancel(color(blue)y)) )/ (3 * color(red)(cancel(color(blue)(x)) * color(red)(cancel(color(blue)(y))) * y)))^4$

$=> ((4x) / (3y))^4$

$=> (256x^4) / (81y^4)$

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How do you simplify ${(\frac{4 x^{2} y}{3 x y^{2}})}^{4}$ $((4x^2y )/( 3xy^2))^4$ ?

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How do you simplify ${(\frac{4 x^{2} y}{3 x y^{2}})}^{4}$ $((4x^2y )/( 3xy^2))^4$ ?