sdhaheries sdhaheries
  • 09-02-2021
  • Mathematics
contestada

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

Respuesta :

Hrishii
Hrishii Hrishii
  • 09-02-2021

Answer:

[tex] {5}^{ \frac{5}{6}}[/tex]

Step-by-step explanation:

[tex]( \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}} }}[/tex]

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