Simplify (7x^5)(8x)

$(7 x^{5}) (8 x)$

Step 1

Rewrite using the commutative property of multiplication.

$7 \cdot 8 x^{5} x$

Step 2

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

Move $x$ .

$7 \cdot 8 (x \cdot x^{5})$

Multiply $x$ by $x^{5}$ .

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

$7 \cdot 8 (x^{1} x^{5})$

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

$7 \cdot 8 x^{1 + 5}$

Add $1$ and $5$ .

$7 \cdot 8 x^{6}$

Step 3

Multiply $7$ by $8$ .

$56 x^{6}$