Algebra Examples

$8 a^{- 3} b^{2} c^{- 2}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$8 \frac{1}{a^{3}} b^{2} c^{- 2}$

Step 2

Combine $8$ and $\frac{1}{a^{3}}$ .

$\frac{8}{a^{3}} b^{2} c^{- 2}$

Step 3

Combine $\frac{8}{a^{3}}$ and $b^{2}$ .

$\frac{8 b^{2}}{a^{3}} c^{- 2}$

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{8 b^{2}}{a^{3}} \cdot \frac{1}{c^{2}}$

Step 5

Combine.

$\frac{8 b^{2} \cdot 1}{a^{3} c^{2}}$

Step 6

Multiply $8$ by $1$ .

$\frac{8 b^{2}}{a^{3} c^{2}}$