Algebra Examples

$6 x^{- 1} y^{- \frac{1}{2}} \sqrt[4]{x^{2} y}$

Step 1

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

$6 \frac{1}{x} y^{- \frac{1}{2}} \sqrt[4]{x^{2} y}$

Step 2

Combine $6$ and $\frac{1}{x}$ .

$\frac{6}{x} y^{- \frac{1}{2}} \sqrt[4]{x^{2} y}$

Step 3

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

$\frac{6}{x} \cdot \frac{1}{y^{\frac{1}{2}}} \sqrt[4]{x^{2} y}$

Step 4

Combine.

$\frac{6 \cdot 1}{x y^{\frac{1}{2}}} \sqrt[4]{x^{2} y}$

Step 5

Multiply $6$ by $1$ .

$\frac{6}{x y^{\frac{1}{2}}} \sqrt[4]{x^{2} y}$

Step 6

Combine $\frac{6}{x y^{\frac{1}{2}}}$ and $\sqrt[4]{x^{2} y}$ .

$\frac{6 \sqrt[4]{x^{2} y}}{x y^{\frac{1}{2}}}$