Apply the Property of negative integer exponents to solve 3 to the power of negative 4 the answer should contain no exponent exspression or decimals

Answer 1

To solve \( 3^{-4} \) using the property of negative integer exponents, we can use the rule that states:

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

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

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

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

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

So, we have:

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

Thus, the final answer is:

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