madihafr22
madihafr22 madihafr22
  • 10-12-2021
  • Mathematics
contestada

Evaluate:
[tex] {8}^{ - \frac{2}{3} } [/tex]
with steps please​

Respuesta :

loneguy
loneguy loneguy
  • 10-12-2021

[tex]8^{-\tfrac 23}\\\\\\=\left(8^{\tfrac 13 }\ \right)^{-2}\\\\\\=\left[\left(2^3\right)^{\tfrac 13} \right]^{-2}\\\\\\=\left(2^{\tfrac 33} \right)^{-2}\\\\\\=2^{-2}\\\\=\dfrac 1{2^2}\\\\\\=\dfrac 14[/tex]

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Аноним Аноним
  • 11-12-2021

[tex] {8}^{ - \frac{2}{3} } \\ = {2}^{3 \times - \frac{2}{3} } \\ = {2}^{ - 2} \\ = \frac{1}{2^{ 2}} \\ = \frac{1}{4} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

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