Convert the expression (√5)(∛5) to exponential form. Show your work
1 answer:
Answer:
Step-by-step explanation:
![( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}](https://tex.z-dn.net/?f=%28%20%5Csqrt%7B5%7D%20%29%28%20%5Csqrt%5B3%5D%7B5%7D%29%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%28%7B5%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%29.%28%7B5%7D%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%29%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B5%7D%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B5%7D%5E%7B%20%5Cfrac%7B3%20%2B%202%7D%7B2%20%5Ctimes%203%7D%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%3D%20%7B5%7D%5E%7B%20%5Cfrac%7B5%7D%7B6%7D%7D%20%7D%7D)
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