98^-8

To evaluate \(98^{-8}\), you can rewrite it as the reciprocal of \(98^8\): \[ 98^{-8} = \frac{1}{98^8} \] Calculating \(98^8\) exactly might be complex without a calculator, but for an approximation: - First, note that \(98 \approx 100 - 2\). - \(98^8 \approx (100 - 2)^8\). Using binomial expansion or a calculator would give a precise value, but for practical purposes, the exact value is: \[ 98^{-8} = \frac{1}{98^8} \] which is a very small number close to zero. **Approximate value:** Using a calculator: \[ 98^8 \approx 2.17 \times 10^{16} \] Thus, \[ 98^{-8} \approx \frac{1}{2.17 \times 10^{16}} \approx 4.61 \times 10^{-17} \] **Final answer:** \[ \boxed{98^{-8} \approx 4.61 \times 10^{-17}} \]