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

Question

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

Answer 1

To apply the property of negative integer exponents, we can use the rule that states:

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

For the expression \( 7^{-3} \), we can rewrite it as follows:

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

Now, let's calculate \( 7^3 \):

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

So we have:

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

Thus, the answer is:

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