Apply the Property of Negative Integer Exponents to solve 7^−3

Question

. The answer should not contain any exponent expression or decimals.(1 point)
7^−3=

Answer 1

To solve \( 7^{-3} \) using the property of negative integer exponents, we can use the rule that states:

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

Applying this to \( 7^{-3} \):

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

Now, calculate \( 7^3 \):

\[ 7^3 = 7 \times 7 \times 7 = 49 \times 7 = 343 \]

Therefore:

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

The final answer is:

\[ \frac{1}{343} \]