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