9^-8

\( 9^{-8} \) can be rewritten as \( \frac{1}{9^{8}} \).

Calculating \( 9^{8} \):

• \( 9^{2} = 81 \)
• \( 9^{4} = (9^{2})^{2} = 81^{2} = 6561 \)
• \( 9^{8} = (9^{4})^{2} = 6561^{2} = 43,046,721 \)

Therefore, \[ 9^{-8} = \frac{1}{43,046,721} \]