KimberleighK437928 KimberleighK437928
  • 25-10-2022
  • Mathematics
contestada

which expression is equivalent to (4^2)^-2?

Respuesta :

BeshoyS119566 BeshoyS119566
  • 25-10-2022

Answer:

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

Explanation: We need to simplify the given expression to get an equvilant expression: The given is as follows.

[tex](4^2)^{-2}[/tex]

Simplification:

Using the following exponent property:

[tex](x^a)^{-b}=x^{a\times(-b)}^{}=x^{-ab}^{}=\frac{1}{x^{ab}}[/tex]

The equvilant expression we get is:

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

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