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

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Question

(C) Given expression: $\left[5\left(8^{\frac{1}{3}}+27^{\frac{1}{3}}\right)^{3}\right]^{\frac{1}{4}}$First,simplify the terms inside the parentheses:$

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(C) Given expression: $\left[5\left(8^{\frac{1}{3}}+27^{\frac{1}{3}}\right)^{3}\right]^{\frac{1}{4}}$First,simplify the terms inside the parentheses:$8^{\frac{1}{3}} = (2^3)^{\frac{1}{3}} = 2$$27^{\frac{1}{3}} = (3^3)^{\frac{1}{3}} = 3$Substitute these values back into the expression:$= \left[5(2+3)^{3}\right]^{\frac{1}{4}}$$= \left[5(5)^{3}\right]^{\frac{1}{4}}$$= \left[5^1 \cdot 5^3\right]^{\frac{1}{4}}$$= \left[5^{1+3}\right]^{\frac{1}{4}}$$= \left[5^4\right]^{\frac{1}{4}}$$= 5^{4 \cdot \frac{1}{4}}$$= 5^1 = 5$

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

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