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

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

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

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

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

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

Therefore, substituting this back, we have:

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

So, the final answer is:

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