Simplify (7x^2)(x^5)(3x)

$(7 x^{2}) (x^{5}) (3 x)$

Step 1

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

Move $x^{5}$ .

$7 (x^{5} x^{2}) (3 x)$

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

$7 x^{5 + 2} (3 x)$

Add $5$ and $2$ .

$7 x^{7} (3 x)$

Step 2

Rewrite using the commutative property of multiplication.

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

Step 3

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

Move $x$ .

$7 \cdot 3 (x \cdot x^{7})$

Multiply $x$ by $x^{7}$ .

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

$7 \cdot 3 (x^{1} x^{7})$

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

$7 \cdot 3 x^{1 + 7}$

Add $1$ and $7$ .

$7 \cdot 3 x^{8}$

Step 4

Multiply $7$ by $3$ .

$21 x^{8}$