Simplify (y^2z)(yz^2)

$(y^{2} z) (y z^{2})$

Step 1

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

Move $y$ .

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

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

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

$y^{1} y^{2} z \cdot z^{2}$

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

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

Add $1$ and $2$ .

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

Step 2

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

Move $z^{2}$ .

$y^{3} (z^{2} z)$

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

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

$y^{3} (z^{2} z^{1})$

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

$y^{3} z^{2 + 1}$

Add $2$ and $1$ .

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