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Convert the expression (√5)(∛5) to exponential form. Show your work

Convert the expression (√5)(∛5) to exponential form. Show your work
5.3k views
13 votes
Convert the expression (√5)(∛5) to exponential form. Show your work

User Robert Broersma
by
8.6k points

1 Answer

2 votes

Answer:


{5}^{ (5)/(6)}

Explanation:


( √(5) )( \sqrt[3]{5}) \\ \\ = ({5}^{ (1)/(2) } ).({5}^{ (1)/(3) } ) \\ \\ = {5}^{ (1)/(2) + (1)/(3) } \\ \\ = {5}^{ (3 + 2)/(2 * 3)} \\ \\ \huge \red{ \boxed{ = {5}^{ (5)/(6)} }}

User Gustyn
by
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