Evaluate x/((2x^0)^2)

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

Simplify the denominator.

Apply the product rule to $2 x^{0}$ .

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

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

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

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

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

$\frac{x}{4 x^{0 \cdot 2}}$

Multiply $0$ by $2$ .

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

Anything raised to $0$ is $1$ .

$\frac{x}{4 \cdot 1}$

Multiply $4$ by $1$ .

$\frac{x}{4}$