Apply the Property of Negative Integer Exponents to solve 7^−3 . The answer should not contain any exponent expression or decimals.(1 point) 7^−3=

1 answer

To apply the property of negative integer exponents, we have:

\[ a^{-n} = \frac{1}{a^n} \]

For \( 7^{-3} \), this means:

\[ 7^{-3} = \frac{1}{7^3} \]

Now, we can calculate \( 7^3 \):

\[ 7^3 = 7 \times 7 \times 7 = 343 \]

Thus, substituting back, we get:

\[ 7^{-3} = \frac{1}{343} \]

So the final answer is:

\[ 7^{-3} = \frac{1}{343} \]