Basic Math Examples

$\frac{y^{6} y^{4}}{y^{2}}$

Step 1

Multiply $y^{6}$ by $y^{4}$ by adding the exponents.

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Step 1.1

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

$\frac{y^{6 + 4}}{y^{2}}$

Step 1.2

Add $6$ and $4$ .

$\frac{y^{10}}{y^{2}}$

Step 2

Cancel the common factor of $y^{10}$ and $y^{2}$ .

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Step 2.1

Factor $y^{2}$ out of $y^{10}$ .

$\frac{y^{2} y^{8}}{y^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Multiply by $1$ .

$\frac{y^{2} y^{8}}{y^{2} \cdot 1}$

Step 2.2.2

Cancel the common factor.

$\frac{y^{2} y^{8}}{y^{2} \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{y^{8}}{1}$

Step 2.2.4

Divide $y^{8}$ by $1$ .

$y^{8}$