Apply the Property of Negative Integer Exponents to solve 3^−4

Question

. The answer should not contain any exponent expression or decimals.(1 point)

Answer 1

To apply the property of negative integer exponents, we use the rule:

\[ a^{-n} = \frac{1}{a^n} \]

In this case, for \(3^{-4}\), we can rewrite it as:

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

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

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

Thus, we have:

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

So, the final answer is:

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