Evaluate (6x^2)(-3x^5)

$(6 x^{2}) (- 3 x^{5})$

Step 1

Rewrite using the commutative property of multiplication.

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

Step 2

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

Move $x^{5}$ .

$6 \cdot - 3 (x^{5} x^{2})$

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

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

Add $5$ and $2$ .

$6 \cdot - 3 x^{7}$

Step 3

Multiply $6$ by $- 3$ .

$- 18 x^{7}$