Pre-Algebra Examples

$\frac{8^{- 7}}{9^{- 2}}$

Step 1

Move $8^{- 7}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{9^{- 2} \cdot 8^{7}}$

Step 2

Move $9^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{9^{2}}{8^{7}}$

Step 3

Raise $9$ to the power of $2$ .

$\frac{81}{8^{7}}$

Step 4

Raise $8$ to the power of $7$ .

$\frac{81}{2097152}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{81}{2097152}$

Decimal Form:

$3.86238098 \cdot 10^{- 5}$