Simplify 3xy^4z^2*5x^2yx

$3 x y^{4} z^{2} \cdot 5 x^{2} y x$

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

Move $x^{2}$ .

$3 (x^{2} x) y^{4} z^{2} \cdot (5 y x)$

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

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

$3 (x^{2} x^{1}) y^{4} z^{2} \cdot (5 y x)$

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

$3 x^{2 + 1} y^{4} z^{2} \cdot (5 y x)$

Add $2$ and $1$ .

$3 x^{3} y^{4} z^{2} \cdot (5 y x)$

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

Move $x$ .

$3 (x \cdot x^{3}) y^{4} z^{2} \cdot (5 y)$

Multiply $x$ by $x^{3}$ .

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

$3 (x^{1} x^{3}) y^{4} z^{2} \cdot (5 y)$

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

$3 x^{1 + 3} y^{4} z^{2} \cdot (5 y)$

Add $1$ and $3$ .

$3 x^{4} y^{4} z^{2} \cdot (5 y)$

Multiply $y^{4}$ by $y$ by adding the exponents.

Move $y$ .

$3 x^{4} (y \cdot y^{4}) z^{2} \cdot 5$

Multiply $y$ by $y^{4}$ .

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

$3 x^{4} (y^{1} y^{4}) z^{2} \cdot 5$

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

$3 x^{4} y^{1 + 4} z^{2} \cdot 5$

Add $1$ and $4$ .

$3 x^{4} y^{5} z^{2} \cdot 5$

Multiply $5$ by $3$ .

$15 x^{4} y^{5} z^{2}$