Apply the Property of Negative Integer Exponents to solve 7^−2

Question

. Your answer should be in fraction form and not contain any exponent expression or decimals.(1 point)
7^−2 =

Answer 1

To apply the property of negative integer exponents, we use the rule that \( a^{-n} = \frac{1}{a^n} \).

Using this rule for \( 7^{-2} \):

\[ 7^{-2} = \frac{1}{7^2} \]

Next, we need to calculate \( 7^2 \):

\[ 7^2 = 49 \]

Thus, we have:

\[ 7^{-2} = \frac{1}{49} \]

Therefore, the answer is:

\[ 7^{-2} = \frac{1}{49} \]