Simplify (5xy^2)/7*(7xy)/3

$\frac{5 x y^{2}}{7} \cdot \frac{7 x y}{3}$

Step 1

Combine.

$\frac{5 x y^{2} (7 x y)}{7 \cdot 3}$

Step 2

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$\frac{5 (x \cdot x) y^{2} (7 y)}{7 \cdot 3}$

Multiply $x$ by $x$ .

$\frac{5 x^{2} y^{2} (7 y)}{7 \cdot 3}$

Step 3

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

Move $y$ .

$\frac{5 x^{2} (y \cdot y^{2}) \cdot 7}{7 \cdot 3}$

Multiply $y$ by $y^{2}$ .

Raise $y$ to the power of $1$ .

$\frac{5 x^{2} (y^{1} y^{2}) \cdot 7}{7 \cdot 3}$

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

$\frac{5 x^{2} y^{1 + 2} \cdot 7}{7 \cdot 3}$

Add $1$ and $2$ .

$\frac{5 x^{2} y^{3} \cdot 7}{7 \cdot 3}$

Step 4

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{5 x^{2} y^{3} \cdot 7}{7 \cdot 3}$

Rewrite the expression.

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