Simplify 3x^2y4zx2yz

$3 \cdot x^{2} \cdot y \cdot 4 z \cdot x \cdot 2 y \cdot z$

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

Move $x$ .

$3 \cdot (x \cdot x^{2}) \cdot y \cdot (4 z) \cdot (2 y) \cdot z$

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

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

$3 \cdot (x^{1} x^{2}) \cdot y \cdot (4 z) \cdot (2 y) \cdot z$

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

$3 \cdot x^{1 + 2} \cdot y \cdot (4 z) \cdot (2 y) \cdot z$

Add $1$ and $2$ .

$3 \cdot x^{3} \cdot y \cdot (4 z) \cdot (2 y) \cdot z$

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

$3 \cdot x^{3} \cdot (y \cdot y) \cdot (4 z) \cdot 2 \cdot z$

Multiply $y$ by $y$ .

$3 \cdot x^{3} \cdot y^{2} \cdot (4 z) \cdot 2 \cdot z$

Multiply $z$ by $z$ by adding the exponents.

Move $z$ .

$3 \cdot x^{3} \cdot y^{2} \cdot (4 (z \cdot z)) \cdot 2$

Multiply $z$ by $z$ .

$3 \cdot x^{3} \cdot y^{2} \cdot (4 z^{2}) \cdot 2$

Multiply $4$ by $3$ .

$12 x^{3} y^{2} z^{2} \cdot 2$

Multiply $2$ by $12$ .

$24 x^{3} y^{2} z^{2}$

Simplify 3*x^2*y*4z*x*2y*z