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Exponents with Like Bases

Question

Write value of $\sqrt[3]{2} \times \sqrt[4]{2} \times \sqrt[12]{32}$

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Solution

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On multiplying , powers of a number get add,

therefore,

=> $2^{\frac{1}{3}}$ ${.2}^{\frac{1}{4}}$ ${.2}^{\frac{5}{12}}$ = $2^{(} \frac{1}{3} + \frac{1}{4} + \frac{5}{12})$

=> $2^{\frac{12}{12}} = 2^{1}$ ,

=> $2$

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