Simplify 3x3x^23x^3

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

Step 1

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

Move $x^{2}$ .

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

Multiply $x^{2}$ by $x$ .

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

$3 (x^{2} x^{1}) \cdot 3 \cdot (3 x^{3})$

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

$3 x^{2 + 1} \cdot 3 \cdot (3 x^{3})$

Add $2$ and $1$ .

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

Step 2

Multiply $x^{3}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

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

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

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

Add $3$ and $3$ .

$3 x^{6} \cdot 3 \cdot 3$

Step 3

Multiply $3$ by $3$ .

$9 x^{6} \cdot 3$

Step 4

Multiply $3$ by $9$ .

$27 x^{6}$

Simplify 3x*3x^2*3x^3