Answer
The blank is -2
Work Step by Step
You are given (5$x^{?}$$)^{2}$=$25x^{-4}$.Solve for the blank:
$5^{2}$($x^{?}$$)^{2}$=$25x^{-4}$ -multiply exponents when raising a power to a power and simplify-
$25x^{2?}$=$25x^{-4}$ -write as a non-exponential equation since they have the same base-
2?=-4 -divide both sides by 2-
?=-2
The blank is -2
