Apply the Property of Negative Integer Exponents to solve 3 raised to the −4 power. The answer should not contain any exponent expression or decimals.(1 point)

Question

3 raised to the −4 power= 

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 property:

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

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

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

So, we substitute back into the equation:

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

Thus, the answer is:

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