Evaluate 16x^0+2x^2*y^-1

$16 x^{0} + 2 x^{2} \cdot y^{- 1}$

Anything raised to $0$ is $1$ .

$16 \cdot 1 + 2 x^{2} \cdot y^{- 1}$

Multiply $16$ by $1$ .

$16 + 2 x^{2} \cdot y^{- 1}$

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

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

Multiply $2 x^{2} \frac{1}{y}$ .

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

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

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

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

Move $2$ to the left of $x^{2}$ .

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