Algebra Examples

$2 x^{- 1} y^{4} \cdot 2 y^{0}$

Step 1

Multiply $y^{4}$ by $y^{0}$ by adding the exponents.

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Step 1.1

Move $y^{0}$ .

$2 x^{- 1} (y^{0} y^{4}) \cdot 2$

Step 1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 x^{- 1} y^{0 + 4} \cdot 2$

Step 1.3

Add $0$ and $4$ .

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

Step 2

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

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

Step 3

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

$\frac{2}{x} y^{4} \cdot 2$

Step 4

Combine $\frac{2}{x}$ and $y^{4}$ .

$\frac{2 y^{4}}{x} \cdot 2$

Step 5

Multiply $\frac{2 y^{4}}{x} \cdot 2$ .

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Step 5.1

Combine $\frac{2 y^{4}}{x}$ and $2$ .

$\frac{2 y^{4} \cdot 2}{x}$

Step 5.2

Multiply $2$ by $2$ .

$\frac{4 y^{4}}{x}$