√64 ÷ ∛64 Simplification

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Q. \( \sqrt{64} \div \sqrt[3]{64} \)

✏️ Solution

\( = 64^{1/2} \div 64^{1/3} \)

\( = 64^{\left(\frac{1}{2} – \frac{1}{3}\right)} \)

\( = 64^{\frac{1}{6}} \)

\( = (2^6)^{\frac{1}{6}} \)

\( = 2 \)

\( \boxed{2} \)

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