Answer
$\frac{1}{49}$
Work Step by Step
According to the negative exponent rule, any number raised to a negative number has to be switched from numerator to denominator or denominator to numerator. So since the negative exponent is on the numerator flip it so it is in the denominator:
$7^{-2}$=$\frac{1}{7^2}$=$\frac{1}{49}$.