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

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

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Answer 1 · 2015-04-03T04:09:21

$\frac{x^{6}}{y^{6}}$ $(x^6)/y^6$ would be your most "simple" answer.

When raising a term with an exponent to another power, you multiply the powers together:

${(\frac{x^{3}}{y^{3}})}^{2} = \frac{{(x^{3})}^{2}}{{(y^{3})}^{2}} = \frac{x^{3 \times 2}}{y^{3 \times 2}} = \frac{x^{6}}{y^{6}}$ $(x^3/y^3)^2 = ((x^3)^2)/((y^3)^2) = x^(3xx2)/y^(3xx2) = x^6/y^6$

I hope that was helpful.

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

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