Simplify (((5xy)^0)/10)^-2

${(\frac{{(5 x y)}^{0}}{10})}^{- 2}$

Step 1

Simplify the numerator.

Apply the product rule to $5 x y$ .

${(\frac{{(5 x)}^{0} y^{0}}{10})}^{- 2}$

Apply the product rule to $5 x$ .

${(\frac{5^{0} x^{0} y^{0}}{10})}^{- 2}$

Anything raised to $0$ is $1$ .

${(\frac{1 x^{0} y^{0}}{10})}^{- 2}$

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

${(\frac{x^{0} y^{0}}{10})}^{- 2}$

Anything raised to $0$ is $1$ .

${(\frac{1 y^{0}}{10})}^{- 2}$

Anything raised to $0$ is $1$ .

${(\frac{1 \cdot 1}{10})}^{- 2}$

Multiply $1$ by $1$ .

${(\frac{1}{10})}^{- 2}$

Step 2

Change the sign of the exponent by rewriting the base as its reciprocal.

$10^{2}$

Step 3

Raise $10$ to the power of $2$ .

$100$