prove that
![a ^{ \frac{m}{n} } = \sqrt[n]{a {}^{m} }](https://tex.z-dn.net/?f=a++%5E%7B+%5Cfrac%7Bm%7D%7Bn%7D+%7D++%3D++++%5Csqrt%5Bn%5D%7Ba+%7B%7D%5E%7Bm%7D+%7D++ "a ^{ \frac{m}{n} } = \sqrt[n]{a {}^{m} }")
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hiiii friend
here is your answer ⬇
![= {a}^{ \frac{m}{n} } \\ = {(a)}^{m \times \frac{1}{n} } \\ = \sqrt[n]{ {a}^{m} }](https://tex.z-dn.net/?f=+%3D++%7Ba%7D%5E%7B+%5Cfrac%7Bm%7D%7Bn%7D++%7D++%5C%5C++%3D++%7B%28a%29%7D%5E%7Bm+%5Ctimes++%5Cfrac%7B1%7D%7Bn%7D+%7D+%5C%5C++%3D++%5Csqrt%5Bn%5D%7B+%7Ba%7D%5E%7Bm%7D+%7D++ "= {a}^{ \frac{m}{n} } \\ = {(a)}^{m \times \frac{1}{n} } \\ = \sqrt[n]{ {a}^{m} }")
hence proved
glad to help you
hope it helps
thank you.
here is your answer ⬇
hence proved
glad to help you
hope it helps
thank you.
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