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=

Remaining Attempts : 3

Answer 1

To apply the property of negative integer exponents, we use the rule that states \( a^{-n} = \frac{1}{a^n} \).

For \( 3^{-4} \), we can rewrite it as:

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

Next, we calculate \( 3^4 \):

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

So we have:

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

Therefore, the final answer is:

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