Simplify: left[5left(8^{frac{1}{3}}+27^{frac{ | vedclass

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Question

$\left[5\left(8^{\frac{1}{3}}+27^{\frac{1}{3}}\right)^{3}\right]^{\frac{1}{4}}=\left[5\left(\left(2^{3}\right)^{\frac{1}{3}}+\left(3^{3}\right)^{\frac

Vedclass · Accepted Answer

$5$

Vedclass · Answer

$\left[5\left(8^{\frac{1}{3}}+27^{\frac{1}{3}}\right)^{3}\right]^{\frac{1}{4}}=\left[5\left(\left(2^{3}\right)^{\frac{1}{3}}+\left(3^{3}\right)^{\frac{1}{3}}\right)^{3}\right]^{\frac{1}{4}}$

$=\left[5(2+3)^{3}\right]^{\frac{1}{4}}$

$=\left[5(5)^{3}\right]^{\frac{1}{4}}$

$=\left[5^{4}\right]^{\frac{1}{4}}$

$=5$

Simplify: $\left[5\left(8^{\frac{1}{3}}+27^{\frac{1}{3}}\right)^{3}\right]^{\frac{1}{4}}$

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