Simplify 2x^3y^5*5xy^2

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

Step 1

Multiply $x^{3}$ by $x$ by adding the exponents.

Move $x$ .

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

Multiply $x$ by $x^{3}$ .

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

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

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

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

Add $1$ and $3$ .

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

Step 2

Multiply $y^{5}$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

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

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

$2 x^{4} y^{2 + 5} \cdot 5$

Add $2$ and $5$ .

$2 x^{4} y^{7} \cdot 5$

Step 3

Multiply $5$ by $2$ .

$10 x^{4} y^{7}$