Question
Simplify: $\big(1^3+2^3+3^3\big)^{\frac{1}{2}}$

Answer

$\big(1^3+2^3+3^3\big)^{\frac{1}{2}}=(1+8+27)^{\frac{1}{2}}$ $=(36)^\frac{1}{2}=(6^2)^\frac{1}{2}=6^{2\times\frac{1}{2}}=6$ $[\because(\text{a}^\text{m})^\text{n}=\text{a}^\text{mn}]$

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