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

Question

3−⁴=

Answer 1

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

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

Now, we can calculate \( 3^{4} \):

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

So, we can substitute this back into our expression:

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

Thus, the final answer is:

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