7th Root x ÷ 8th Root x

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Q. \( \sqrt[7]{x} \div \sqrt[8]{x} \)

✏️ Solution

\( = x^{1/7} \div x^{1/8} \)

\( = x^{\left(\frac{1}{7} – \frac{1}{8}\right)} \)

\( = x^{\frac{8-7}{56}} \)

\( = x^{\frac{1}{56}} \)

\( = \sqrt[56]{x} \)

\( \boxed{\sqrt[56]{x}} \)

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