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

Question

3^-4 = {blank}

Answer 1

To solve \( 3^{-4} \), we can apply the Property of Negative Integer Exponents, which states that \( a^{-n} = \frac{1}{a^n} \).

Using this property, we have:

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

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

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

Now substituting this back in, we get:

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

Thus, the answer is:

\[ \frac{1}{81} \]