Basic Math Examples

$n^{6} \cdot n^{5} \cdot n^{4} \div n^{3} \cdot n^{2} \div n$

Step 1

Rewrite the division as a fraction.

$\frac{n^{6} \cdot n^{5} \cdot n^{4} \div n^{3} \cdot n^{2}}{n}$

Step 2

Multiply $n^{6}$ by $n^{5}$ 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.

$\frac{n^{6 + 5} \cdot n^{4} \div n^{3} \cdot n^{2}}{n}$

Step 2.2

Add $6$ and $5$ .

$\frac{n^{11} \cdot n^{4} \div n^{3} \cdot n^{2}}{n}$

Step 3

Multiply $n^{11}$ by $n^{4}$ 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.

$\frac{n^{11 + 4} \div n^{3} \cdot n^{2}}{n}$

Step 3.2

Add $11$ and $4$ .

$\frac{n^{15} \div n^{3} \cdot n^{2}}{n}$

Step 4

Cancel the common factor of $n^{15}$ and $n^{3}$ .

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Step 4.1

Factor $n^{3}$ out of $n^{15}$ .

$\frac{n^{3} n^{12} \div n^{3} \cdot n^{2}}{n}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Multiply by $1$ .

$\frac{n^{3} n^{12} \div n^{3} \cdot 1 \cdot n^{2}}{n}$

Step 4.2.2

Cancel the common factor.

$\frac{n^{3} n^{12} \div n^{3} \cdot 1 \cdot n^{2}}{n}$

Step 4.2.3

Rewrite the expression.

$\frac{\frac{n^{12}}{1} \cdot n^{2}}{n}$

Step 4.2.4

Divide $n^{12}$ by $1$ .

$\frac{n^{12} \cdot n^{2}}{n}$

Step 5

Cancel the common factor of $n^{12}$ and $n$ .

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Step 5.1

Factor $n$ out of $n^{12} \cdot n^{2}$ .

$\frac{n (n^{11} \cdot n^{2})}{n}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

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

$\frac{n (n^{11} \cdot n^{2})}{n^{1}}$

Step 5.2.2

Factor $n$ out of $n^{1}$ .

$\frac{n (n^{11} \cdot n^{2})}{n \cdot 1}$

Step 5.2.3

Cancel the common factor.

$\frac{n (n^{11} \cdot n^{2})}{n \cdot 1}$

Step 5.2.4

Rewrite the expression.

$\frac{n^{11} \cdot n^{2}}{1}$

Step 5.2.5

Divide $n^{11} \cdot n^{2}$ by $1$ .

$n^{11} \cdot n^{2}$

Step 6

Multiply $n^{11}$ by $n^{2}$ by adding the exponents.

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Step 6.1

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

$n^{11 + 2}$

Step 6.2

Add $11$ and $2$ .

$n^{13}$