Calculus Examples

$6 a x^{5} = 18 x^{5}$

Step 1

Divide each term in $6 a x^{5} = 18 x^{5}$ by $6 x^{5}$ .

$\frac{6 a x^{5}}{6 x^{5}} = \frac{18 x^{5}}{6 x^{5}}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $6$ .

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Step 2.1.1

Cancel the common factor.

$\frac{6 a x^{5}}{6 x^{5}} = \frac{18 x^{5}}{6 x^{5}}$

Step 2.1.2

Rewrite the expression.

$\frac{a x^{5}}{x^{5}} = \frac{18 x^{5}}{6 x^{5}}$

Step 2.2

Cancel the common factor of $x^{5}$ .

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Step 2.2.1

Cancel the common factor.

$\frac{a x^{5}}{x^{5}} = \frac{18 x^{5}}{6 x^{5}}$

Step 2.2.2

Divide $a$ by $1$ .

$a = \frac{18 x^{5}}{6 x^{5}}$

Step 3

Simplify the right side.

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Step 3.1

Cancel the common factor of $18$ and $6$ .

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Step 3.1.1

Factor $6$ out of $18 x^{5}$ .

$a = \frac{6 (3 x^{5})}{6 x^{5}}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $6$ out of $6 x^{5}$ .

$a = \frac{6 (3 x^{5})}{6 (x^{5})}$

Step 3.1.2.2

Cancel the common factor.

$a = \frac{6 (3 x^{5})}{6 x^{5}}$

Step 3.1.2.3

Rewrite the expression.

$a = \frac{3 x^{5}}{x^{5}}$

Step 3.2

Cancel the common factor of $x^{5}$ .

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Step 3.2.1

Cancel the common factor.

$a = \frac{3 x^{5}}{x^{5}}$

Step 3.2.2

Divide $3$ by $1$ .

$a = 3$