Question

Apply the Property of Negative Integer Exponents to solve 3-⁴ The answer should not contain any exponent expression or decimals. (1 point)

3-⁴=blank

Answer 1

To solve \( 3^{-4} \) using the property of negative integer exponents, we can rewrite it as:

\[
3^{-4} = \frac{1}{3^{4}}
\]

Next, we need to calculate \( 3^{4} \):

\[
3^{4} = 3 \times 3 \times 3 \times 3 = 81
\]

Now we can substitute this back into the expression:

\[
3^{-4} = \frac{1}{81}
\]

Thus, the final answer is:

\[
3^{-4} = \frac{1}{81}
\]