Simplify (x^2y)^0

${(x^{2} y)}^{0}$

Apply the product rule to $x^{2} y$ .

${(x^{2})}^{0} y^{0}$

Multiply the exponents in ${(x^{2})}^{0}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$x^{2 \cdot 0} y^{0}$

Multiply $2$ by $0$ .

$x^{0} y^{0}$

Anything raised to $0$ is $1$ .

$1 y^{0}$

Multiply $y^{0}$ by $1$ .

$y^{0}$

Anything raised to $0$ is $1$ .

$1$