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

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Solution

$= {[5 {(8^{1 / 3} + 27^{1 / 3})}^{3}]}^{1 / 4}$

$= {[5 {(2^{3 \times 1 / 3} + 3^{3 \times 1 / 3})}^{3}]}^{1 / 4}$

$= {[5 {(2 + 3)}^{3}]}^{1 / 4}$

$= {({5.5}^{3})}^{1 / 4}$

$= {(5^{4})}^{1 / 4}$ f

$= 5$

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Similar questions

{[5 {(8^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}]}^{\frac{1}{4}}

{(5 {(8^{1 / 3} + 27^{1 / 3})}^{3})}^{1 / 4}

{(\begin{matrix} 5 (8^{1 / 3} + 27^{1 / 3})^{3} \end{matrix})}^{1 / 4} =

a) [5 (8^{\frac{1}{3}} + 27^{\frac{1}{3}})^{3}]^{\frac{1}{4}}

b) (0.000064)^{\frac{5}{4}} \times (0.04)^{\frac{5}{4}}

(27)^{\frac{4}{3}} + (32)^{0.8} + (0.8)^{- 1}

{(\frac{64}{125})}^{\frac{- 2}{3}} \div \frac{1}{{(\frac{256}{625})}^{\frac{1}{4}}} \times \frac{\sqrt{25}}{\sqrt[3]{64}}

{⎡ ⎢ ⎢ ⎣ 5 {⎛ ⎜ ⎝ 8^{\frac{1}{3}} + 27^{\frac{1}{3}} ⎞ ⎟ ⎠}^{3} ⎤ ⎥ ⎥ ⎦}^{\frac{1}{4}}

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