Simplify (x^2y^3z^5)(5x^3y^2)

$(x^{2} y^{3} z^{5}) (5 x^{3} y^{2})$

Rewrite using the commutative property of multiplication.

$5 x^{2} y^{3} z^{5} (x^{3} y^{2})$

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

$5 (x^{3} x^{2}) y^{3} z^{5} y^{2}$

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

$5 x^{3 + 2} y^{3} z^{5} y^{2}$

Add $3$ and $2$ .

$5 x^{5} y^{3} z^{5} y^{2}$

Multiply $y^{3}$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$5 x^{5} (y^{2} y^{3}) z^{5}$

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

$5 x^{5} y^{2 + 3} z^{5}$

Add $2$ and $3$ .

$5 x^{5} y^{5} z^{5}$