Simplify (2x^5)(3x^12)

$(2 x^{5}) (3 x^{12})$

Step 1

Rewrite using the commutative property of multiplication.

$2 \cdot 3 x^{5} x^{12}$

Step 2

Multiply $x^{5}$ by $x^{12}$ by adding the exponents.

Move $x^{12}$ .

$2 \cdot 3 (x^{12} x^{5})$

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

$2 \cdot 3 x^{12 + 5}$

Add $12$ and $5$ .

$2 \cdot 3 x^{17}$

Step 3

Multiply $2$ by $3$ .

$6 x^{17}$