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Popular >

simplify ((2x)/(3y^2))^3

Solution

simplify

(\frac{2 x}{3 y ^{2}})^{3}

Solution

\frac{8 x ^{3}}{27 y ^{6}}

Solution steps

(\frac{2 x}{3 y ^{2}})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 x ) ^{3}}{( 3 y ^{2} ) ^{3}}

Simplify

(2 x)^{3} : 8 x^{3}

= \frac{8 x ^{3}}{( 3 y ^{2} ) ^{3}}

Simplify

(3 y^{2})^{3} : 27 y^{6}

= \frac{8 x ^{3}}{27 y ^{6}}

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Frequently Asked Questions (FAQ)

What is ((2x)/(3y^2))^3 ?
The solution to ((2x)/(3y^2))^3 is (8x^3)/(27y^6)