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Answer:

[tex] {(5 ({ {8}^{ \frac{1}{3} } + {27}^{ \frac{1}{3} } })^{3} )}^{ \frac{1}{4} } \\ {8}^{ \frac{1}{3} } = \sqrt[3]{8} = \sqrt[3]{2 \times 2 \times 2} = 2 \\ {27}^{ \frac{1}{3} } = \sqrt[3]{27} = \sqrt[3]{3 \times 3 \times 3} = 3 \\ {(5 ({ {8}^{ \frac{1}{3} } + {27}^{ \frac{1}{3} } })^{3} )}^{ \frac{1}{4} } = {(5 {(2 + 3)}^{3})}^{ \frac{1}{4} } \\ = {(5( {5}^{3} ))}^{ \frac{1}{4} } \\ = {( {5}^{4}) }^{ \frac{1}{4} } = 5[/tex]

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