Simplify (1/y)^0

${(\frac{1}{y})}^{0}$

Apply the product rule to $\frac{1}{y}$ .

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

Anything raised to $0$ is $1$ .

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

Anything raised to $0$ is $1$ .

$\frac{1}{1}$

Divide $1$ by $1$ .

$1$

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