Question

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

Answer 1

`(4^2)^(-2)=(1)/(x^4)`

Step-by-step explanation: We need to simplify the given expression to get an equvilant expression: The given is as follows.

`(4^2)^(-2)`

Simplification:

Using the following exponent property:

`(x^a)^(-b)=x^(a*(-b))^{}=x^(-ab)^{}=(1)/(x^(ab))`

The equvilant expression we get is:

`(4^2)^(-2)=x^(2*-2)=x^(-4)=(1)/(x^4)`