Precalculus Examples

$\frac{y^{10} y^{0}}{y^{7}}$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Multiply $y^{10}$ by $y^{0}$ by adding the exponents.

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Step 1.1.1

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

$\frac{y^{10 + 0}}{y^{7}}$

Step 1.1.2

Add $10$ and $0$ .

$\frac{y^{10}}{y^{7}}$

Step 1.2

Cancel the common factor of $y^{10}$ and $y^{7}$ .

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Step 1.2.1

Factor $y^{7}$ out of $y^{10}$ .

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

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Multiply by $1$ .

$\frac{y^{7} y^{3}}{y^{7} \cdot 1}$

Step 1.2.2.2

Cancel the common factor.

$\frac{y^{7} y^{3}}{y^{7} \cdot 1}$

Step 1.2.2.3

Rewrite the expression.

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

Step 1.2.2.4

Divide $y^{3}$ by $1$ .

$y^{3}$

Step 2

The largest exponent is the degree of the polynomial.

$3$