Simplify ((6x^3)^0)/(3xy^2)

$\frac{{(6 x^{3})}^{0}}{3 x y^{2}}$

Step 1

Apply the product rule to $6 x^{3}$ .

$\frac{6^{0} {(x^{3})}^{0}}{3 x y^{2}}$

Step 2

Anything raised to $0$ is $1$ .

$\frac{1 {(x^{3})}^{0}}{3 x y^{2}}$

Step 3

Multiply the exponents in ${(x^{3})}^{0}$ .

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

$\frac{1 x^{3 \cdot 0}}{3 x y^{2}}$

Multiply $3$ by $0$ .

$\frac{1 x^{0}}{3 x y^{2}}$

Step 4

Anything raised to $0$ is $1$ .

$\frac{1 \cdot 1}{3 x y^{2}}$

Step 5

Multiply $1$ by $1$ .

$\frac{1}{3 x y^{2}}$