Simplify 2x^-1y^4*2y^0

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

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

Move $y^{0}$ .

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

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

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

Add $0$ and $4$ .

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

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

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

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

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

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

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

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

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

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

Multiply $2$ by $2$ .

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