To calculate \( 94^{-5} \), you can use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \). Therefore:
\[ 94^{-5} = \frac{1}{94^5} \]
Now, to find \( 94^5 \):
\[ 94^5 = 94 \times 94 \times 94 \times 94 \times 94 \]
Calculating this directly, we find:
\[ 94^2 = 8836 \] \[ 94^3 = 94 \times 8836 = 831872 \] \[ 94^4 = 94 \times 831872 = 78074976 \] \[ 94^5 = 94 \times 78074976 = 7338697624 \]
Thus,
\[ 94^{-5} = \frac{1}{7338697624} \approx 1.362 \times 10^{-10} \]
So the value of \( 94^{-5} \) is approximately \( 1.362 \times 10^{-10} \).