Simplify (5x^6)(4x^7)

$(5 x^{6}) (4 x^{7})$

Step 1

Rewrite using the commutative property of multiplication.

$5 \cdot 4 x^{6} x^{7}$

Step 2

Multiply $x^{6}$ by $x^{7}$ by adding the exponents.

Move $x^{7}$ .

$5 \cdot 4 (x^{7} x^{6})$

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

$5 \cdot 4 x^{7 + 6}$

Add $7$ and $6$ .

$5 \cdot 4 x^{13}$

Step 3

Multiply $5$ by $4$ .

$20 x^{13}$