ralphynaar ralphynaar
  • 26-04-2020
  • Mathematics
contestada

Evaluate:
8 to the 8/3 power

Respuesta :

julia123490
julia123490 julia123490
  • 26-04-2020
The answer is 256 hope this helps :)
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swapnalimalwadeVT swapnalimalwadeVT
  • 23-04-2022

The 8 to the 8/3 power is 256.

The given [tex]8^{\frac{8}{3}[/tex]

[tex]2^3=8[/tex]

Therefore we have

[tex]=\left(2^3\right)^{\frac{8}{3}}[/tex]

What is the exponent rule for [tex](a^b)^c[/tex] ?

[tex](a^b)^c=a^{bc}[/tex]

[tex]=2^{3\cdot \frac{8}{3}}[/tex]

[tex]=2^8[/tex]

[tex]=256[/tex]

Therefore the 8 to the 8/3 power is 256.

To learn more about the power visit:

https://brainly.com/question/24858512

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