Simplify 3yz^2*5y^2z

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

Step 1

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

Move $y^{2}$ .

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

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

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

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

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

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

Add $2$ and $1$ .

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

Step 2

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

Move $z$ .

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

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

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

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

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

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

Add $1$ and $2$ .

$3 y^{3} z^{3} \cdot 5$

Step 3

Multiply $5$ by $3$ .

$15 y^{3} z^{3}$