Algebra Examples

$2^{- 3} x^{2} z^{- 7}$

Step 1

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

$\frac{1}{2^{3}} x^{2} z^{- 7}$

Step 2

Raise $2$ to the power of $3$ .

$\frac{1}{8} x^{2} z^{- 7}$

Step 3

Combine $\frac{1}{8}$ and $x^{2}$ .

$\frac{x^{2}}{8} z^{- 7}$

Step 4

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

$\frac{x^{2}}{8} \cdot \frac{1}{z^{7}}$

Step 5

Combine.

$\frac{x^{2} \cdot 1}{8 z^{7}}$

Step 6

Multiply $x^{2}$ by $1$ .

$\frac{x^{2}}{8 z^{7}}$