Find the Product (7x^2y^3)(3x^5y^8)

$(7 x^{2} y^{3}) (3 x^{5} y^{8})$

Step 1

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

Move $x^{5}$ .

$7 (x^{5} x^{2}) y^{3} (3 y^{8})$

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

$7 x^{5 + 2} y^{3} (3 y^{8})$

Add $5$ and $2$ .

$7 x^{7} y^{3} (3 y^{8})$

Step 2

Multiply $y^{3}$ by $y^{8}$ by adding the exponents.

Move $y^{8}$ .

$7 x^{7} (y^{8} y^{3}) \cdot 3$

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

$7 x^{7} y^{8 + 3} \cdot 3$

Add $8$ and $3$ .

$7 x^{7} y^{11} \cdot 3$

Step 3

Multiply $3$ by $7$ .

$21 x^{7} y^{11}$