What is ((\sqrt[3]{8x})/8)^3 ?

The solution to ((\sqrt[3]{8x})/8)^3 is x/(64)

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simplify ((\sqrt[3]{8x})/8)^3

simplify

\frac{x}{64}

Solution steps

Apply exponent rule:

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

Simplify

= \frac{8 x}{8 ^{3}}

8^{3} = 512

= \frac{8 x}{512}

Cancel the common factor:

8

= \frac{x}{64}

(x + 1)^{2} + (x - 1)^{2}

(81)^{2} + 3^{2}

(\frac{2}{5} x - \frac{1}{3}) (\frac{2}{5} x + \frac{1}{3})

\frac{81}{9}

\frac{ab c ^{2} + b ^{2} c ^{3} + a ^{2} b ^{7} c ^{5}}{ab c}