Simplify (6x^0)/(2y^-1)

$\frac{6 x^{0}}{2 y^{- 1}}$

Move $y^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{6 x^{0} y}{2}$

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $6 x^{0} y$ .

$\frac{2 (3 x^{0} y)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 (3 x^{0} y)}{2 (1)}$

Cancel the common factor.

$\frac{2 (3 x^{0} y)}{2 \cdot 1}$

Rewrite the expression.

$\frac{3 x^{0} y}{1}$

Divide $3 x^{0} y$ by $1$ .

$3 x^{0} y$

Simplify the expression.

Anything raised to $0$ is $1$ .

$3 \cdot 1 y$

Multiply $3$ by $1$ .

$3 y$