zaidabu966 zaidabu966
  • 25-03-2020
  • Mathematics
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if 16 to the power of x is 1/64 . what is x

Respuesta :

devishri1977
devishri1977 devishri1977
  • 25-03-2020

Answer:

Step-by-step explanation:

[tex]16^{x}=\frac{1}{64}\\\\(4^{2})^{x}=64^{-1}\\\\(4^{2})^{x}=(4^{3})^{-1}\\\\4^{2x}=4^{-3}\\\\[/tex]

Compare the powers now

2x = -3

x = -3/2

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