Basic Math Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

Combine.

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

Step 3

Multiply $z^{3}$ 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.

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

Step 3.2

Add $3$ and $3$ .

$\frac{z^{6}}{y^{3} y^{3}}$

Step 4

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

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Step 4.1

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

$\frac{z^{6}}{y^{3 + 3}}$

Step 4.2

Add $3$ and $3$ .

$\frac{z^{6}}{y^{6}}$