What is (((8x^3))/((125y^3)))^{1/3} ?

The solution to (((8x^3))/((125y^3)))^{1/3} is (2x)/(5y)

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simplify (((8x^3))/((125y^3)))^{1/3}

simplify

(\frac{( 8 x ^{3} )}{( 125 y ^{3} )})^{\frac{1}{3}}

\frac{2 x}{5 y}

Solution steps

(\frac{8 x ^{3}}{125 y ^{3}})^{\frac{1}{3}}

Apply exponent rule:

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

= \frac{( 8 x ^{3} ) ^{\frac{1}{3}}}{( 125 y ^{3} ) ^{\frac{1}{3}}}

Simplify

(8 x^{3})^{\frac{1}{3}} : 2 x

= \frac{2 x}{( 125 y ^{3} ) ^{\frac{1}{3}}}

Simplify

(125 y^{3})^{\frac{1}{3}} : 5 y

= \frac{2 x}{5 y}

a^{4} + 343 a

\frac{( 2 x - 3 )}{( 3 x )} - \frac{( 5 + 4 x )}{x}

(7 + 3 x)^{3}

(2 a^{3} \cdot b^{5} \cdot c^{2})^{4}

21 x^{4} y - 35 x^{3} y

What is (((8x^3))/((125y^3)))^{1/3} ?
The solution to (((8x^3))/((125y^3)))^{1/3} is (2x)/(5y)