Algebra Examples

$\frac{- 8^{- 2}}{3^{- 4}}$

Step 1

Move $8^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{- 1}{3^{- 4} \cdot 8^{2}}$

Step 2

Move $3^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{- 3^{4}}{8^{2}}$

Step 3

Raise $3$ to the power of $4$ .

$\frac{- 1 \cdot 81}{8^{2}}$

Step 4

Raise $8$ to the power of $2$ .

$\frac{- 1 \cdot 81}{64}$

Step 5

Multiply $- 1$ by $81$ .

$\frac{- 81}{64}$

Step 6

Move the negative in front of the fraction.

$- \frac{81}{64}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{81}{64}$

Decimal Form:

$- 1.265625$

Mixed Number Form:

$- 1 \frac{17}{64}$