3^-4

To calculate \( 3^{-4} \), you can use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \). Thus,

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

Now, calculate \( 3^4 \):

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

So,

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

Therefore, the final answer is:

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