Algebra Examples

$- 4^{- 2} x^{- 1} y^{2} z^{3}$

Step 1

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

$- \frac{1}{4^{2}} x^{- 1} y^{2} z^{3}$

Step 2

Raise $4$ to the power of $2$ .

$- \frac{1}{16} x^{- 1} y^{2} z^{3}$

Step 3

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

$- \frac{1}{16} \cdot \frac{1}{x} y^{2} z^{3}$

Step 4

Multiply $\frac{1}{x}$ by $\frac{1}{16}$ .

$- \frac{1}{x \cdot 16} y^{2} z^{3}$

Step 5

Move $16$ to the left of $x$ .

$- \frac{1}{16 \cdot x} y^{2} z^{3}$

Step 6

Combine $y^{2}$ and $\frac{1}{16 x}$ .

$- \frac{y^{2}}{16 x} z^{3}$

Step 7

Combine $z^{3}$ and $\frac{y^{2}}{16 x}$ .

$- \frac{z^{3} y^{2}}{16 x}$