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

The property of negative integer exponents states that \( a^{-n} = \frac{1}{a^n} \).

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

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

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

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

Thus,

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

So, the final answer is:

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