Algebra Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

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

$\frac{1}{16 x} y^{2}$

Step 5

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

$\frac{y^{2}}{16 x}$