Seudónimo Seudónimo
  • 18-02-2019
  • Mathematics
contestada

Evaluate:
[tex]8^{\frac{5}{3} }[/tex]

(An explanation would be appreciated.)

Respuesta :

Shardul27 Shardul27
  • 18-02-2019

[tex] {8}^{ \frac{5}{3} } \\ = { ({2}^{3} )}^{ \frac{5}{3} } \\ = {2}^{3 \times \frac{5}{3} } \\ = {2}^{5} \\ = 32. [/tex]

Here, we have converted 8 to 2³.

Then, we have used formula (a^m) ^n = a^mn.

Hope this will help you. 

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