Simplify (1/4x^2y^108)^0

${(\frac{1}{4} x^{2} y^{108})}^{0}$

Multiply $\frac{1}{4} (x^{2} y^{108})$ .

Combine $x^{2}$ and $\frac{1}{4}$ .

${(\frac{x^{2}}{4} y^{108})}^{0}$

Combine $\frac{x^{2}}{4}$ and $y^{108}$ .

${(\frac{x^{2} y^{108}}{4})}^{0}$

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $\frac{x^{2} y^{108}}{4}$ .

$\frac{{(x^{2} y^{108})}^{0}}{4^{0}}$

Apply the product rule to $x^{2} y^{108}$ .

$\frac{{(x^{2})}^{0} {(y^{108})}^{0}}{4^{0}}$

Simplify the numerator.

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

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

$\frac{x^{2 \cdot 0} {(y^{108})}^{0}}{4^{0}}$

Multiply $2$ by $0$ .

$\frac{x^{0} {(y^{108})}^{0}}{4^{0}}$

Anything raised to $0$ is $1$ .

$\frac{1 {(y^{108})}^{0}}{4^{0}}$

Multiply the exponents in ${(y^{108})}^{0}$ .

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

$\frac{1 y^{108 \cdot 0}}{4^{0}}$

Multiply $108$ by $0$ .

$\frac{1 y^{0}}{4^{0}}$

Anything raised to $0$ is $1$ .

$\frac{1 \cdot 1}{4^{0}}$

Multiply $1$ by $1$ .

$\frac{1}{4^{0}}$

Simplify the expression.

Anything raised to $0$ is $1$ .

$\frac{1}{1}$

Divide $1$ by $1$ .

$1$