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

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

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

Move $x$ .

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

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

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

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

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

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

Add $1$ and $3$ .

$5 x^{4} \cdot 2 (3 x^{2})$

Multiply $x^{4}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$5 (x^{2} x^{4}) \cdot 2 \cdot 3$

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

$5 x^{2 + 4} \cdot 2 \cdot 3$

Add $2$ and $4$ .

$5 x^{6} \cdot 2 \cdot 3$

Multiply $2$ by $5$ .

$10 x^{6} \cdot 3$

Multiply $3$ by $10$ .

$30 x^{6}$