Basic Math Examples

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

Step 1

Combine.

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

Step 2

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

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Step 2.1

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

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Step 2.1.1

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

$\frac{y^{1} y^{3}}{z^{2} z^{3}}$

Step 2.1.2

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

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

Step 2.2

Add $1$ and $3$ .

$\frac{y^{4}}{z^{2} z^{3}}$

Step 3

Multiply $z^{2}$ by $z^{3}$ by adding the exponents.

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Step 3.1

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

$\frac{y^{4}}{z^{2 + 3}}$

Step 3.2

Add $2$ and $3$ .

$\frac{y^{4}}{z^{5}}$