Simplify (5x^3y^2)/(3xy^0)

$\frac{5 x^{3} y^{2}}{3 x y^{0}}$

Step 1

Move $y^{0}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{5 x^{3} y^{2} y^{0}}{3 x}$

Step 2

Multiply $y^{2}$ by $y^{0}$ by adding the exponents.

Move $y^{0}$ .

$\frac{5 x^{3} (y^{0} y^{2})}{3 x}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{5 x^{3} y^{0 + 2}}{3 x}$

Add $0$ and $2$ .

$\frac{5 x^{3} y^{2}}{3 x}$

Step 3

Cancel the common factor of $x^{3}$ and $x$ .

Factor $x$ out of $5 x^{3} y^{2}$ .

$\frac{x (5 x^{2} y^{2})}{3 x}$

Cancel the common factors.

Factor $x$ out of $3 x$ .

$\frac{x (5 x^{2} y^{2})}{x \cdot 3}$

Cancel the common factor.

$\frac{x (5 x^{2} y^{2})}{x \cdot 3}$

Rewrite the expression.

$\frac{5 x^{2} y^{2}}{3}$