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Simplify (az)*(az^2)

$(a z) \cdot (a z^{2})$

Step 1

Multiply

$a$ by

$a$ by adding the exponents.

Move

$a$ .

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

Multiply

$a$ by

$a$ .

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

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

Step 2

Multiply

$z$ by

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

Move

$z^{2}$ .

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

Multiply

$z^{2}$ by

$z$ .

Raise

$z$ to the power of

$1$ .

$a^{2} (z^{2} z^{1})$

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$a^{2} z^{2 + 1}$

$a^{2} z^{2 + 1}$

Add

$2$ and

$1$ .

$a^{2} z^{3}$

$a^{2} z^{3}$

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