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

Question

. The answer should not contain any exponent expression or decimals.(1 point)
3^−4=

Answer 1

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

Applying this rule to \( 3^{-4} \):

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

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

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

Now we can substitute this value back into our expression:

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

Thus, the final answer is:

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