Simplify (5x^(3m))(2x^(2m))

$(5 x^{3 m}) (2 x^{2 m})$

Rewrite using the commutative property of multiplication.

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

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

Move $x^{2 m}$ .

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

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

$5 \cdot 2 x^{2 m + 3 m}$

Add $2 m$ and $3 m$ .

$5 \cdot 2 x^{5 m}$

Multiply $5$ by $2$ .

$10 x^{5 m}$