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:

\[ \boxed{98^{-8} \approx 4.61 \times 10^{-17}} \]