Question

Apply the property of negative integer exponents to solve seven minus power of three the answer should not contain any exponent expression or decimals

Answer 1

To solve the expression \( 7 - 3^{-1} \) using properties of negative integer exponents, first rewrite the negative exponent:

The expression \( 3^{-1} \) can be rewritten as:

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

Now substituting this back into the expression gives:

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

To perform the subtraction, it's helpful to express 7 as a fraction with the same denominator, which in this case will be 3:

\[
7 = \frac{21}{3}
\]

Now we can perform the subtraction:

\[
\frac{21}{3} - \frac{1}{3} = \frac{21 - 1}{3} = \frac{20}{3}
\]

Therefore, the final answer is:

\[
\frac{20}{3}
\]

This result does not contain any exponent expressions or decimals as requested.