Algebra Examples

$\frac{f^{7} \cdot f^{4}}{f^{0} \cdot f^{5}}$

Step 1

Multiply $f^{7}$ by $f^{4}$ 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.

$\frac{f^{7 + 4}}{f^{0} \cdot f^{5}}$

Step 1.2

Add $7$ and $4$ .

$\frac{f^{11}}{f^{0} \cdot f^{5}}$

Step 2

Multiply $f^{0}$ by $f^{5}$ by adding the exponents.

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Step 2.1

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

$\frac{f^{11}}{f^{0 + 5}}$

Step 2.2

Add $0$ and $5$ .

$\frac{f^{11}}{f^{5}}$

Step 3

Cancel the common factor of $f^{11}$ and $f^{5}$ .

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Step 3.1

Factor $f^{5}$ out of $f^{11}$ .

$\frac{f^{5} f^{6}}{f^{5}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Multiply by $1$ .

$\frac{f^{5} f^{6}}{f^{5} \cdot 1}$

Step 3.2.2

Cancel the common factor.

$\frac{f^{5} f^{6}}{f^{5} \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{f^{6}}{1}$

Step 3.2.4

Divide $f^{6}$ by $1$ .

$f^{6}$