Simplify (7x^12)(6x^13)

$(7 x^{12}) (6 x^{13})$

Step 1

Rewrite using the commutative property of multiplication.

$7 \cdot 6 x^{12} x^{13}$

Step 2

Multiply $x^{12}$ by $x^{13}$ by adding the exponents.

Move $x^{13}$ .

$7 \cdot 6 (x^{13} x^{12})$

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

$7 \cdot 6 x^{13 + 12}$

Add $13$ and $12$ .

$7 \cdot 6 x^{25}$

Step 3

Multiply $7$ by $6$ .

$42 x^{25}$