Simplify ((4x^2)^0)/(2xy^5)

$\frac{{(4 x^{2})}^{0}}{2 x y^{5}}$

Step 1

Apply the product rule to $4 x^{2}$ .

$\frac{4^{0} {(x^{2})}^{0}}{2 x y^{5}}$

Step 2

Anything raised to $0$ is $1$ .

$\frac{1 {(x^{2})}^{0}}{2 x y^{5}}$

Step 3

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

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

$\frac{1 x^{2 \cdot 0}}{2 x y^{5}}$

Multiply $2$ by $0$ .

$\frac{1 x^{0}}{2 x y^{5}}$

Step 4

Anything raised to $0$ is $1$ .

$\frac{1 \cdot 1}{2 x y^{5}}$

Step 5

Multiply $1$ by $1$ .

$\frac{1}{2 x y^{5}}$