Algebra Examples

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

Step 1

Multiply $y^{3}$ 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.

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

Step 1.2

Add $3$ and $4$ .

$\frac{y^{7}}{y \cdot y^{2}}$

Step 2

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

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Step 2.1

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

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Step 2.1.1

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

$\frac{y^{7}}{y^{1} y^{2}}$

Step 2.1.2

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

$\frac{y^{7}}{y^{1 + 2}}$

Step 2.2

Add $1$ and $2$ .

$\frac{y^{7}}{y^{3}}$

Step 3

Cancel the common factor of $y^{7}$ and $y^{3}$ .

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Step 3.1

Factor $y^{3}$ out of $y^{7}$ .

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

Multiply by $1$ .

$\frac{y^{3} y^{4}}{y^{3} \cdot 1}$

Step 3.2.2

Cancel the common factor.

$\frac{y^{3} y^{4}}{y^{3} \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{y^{4}}{1}$

Step 3.2.4

Divide $y^{4}$ by $1$ .

$y^{4}$