Precalculus Examples

$4 a (5) = 6^{2}$

Step 1

Multiply $5$ by $4$ .

$20 a = 6^{2}$

Step 2

Divide each term in $20 a = 6^{2}$ by $20$ and simplify.

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Step 2.1

Divide each term in $20 a = 6^{2}$ by $20$ .

$\frac{20 a}{20} = \frac{6^{2}}{20}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $20$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{20 a}{20} = \frac{6^{2}}{20}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a = \frac{6^{2}}{20}$

$a = \frac{6^{2}}{20}$

$a = \frac{6^{2}}{20}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Raise $6$ to the power of $2$ .

$a = \frac{36}{20}$

Step 2.3.2

Cancel the common factor of $36$ and $20$ .

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Step 2.3.2.1

Factor $4$ out of $36$ .

$a = \frac{4 (9)}{20}$

Step 2.3.2.2

Cancel the common factors.

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Step 2.3.2.2.1

Factor $4$ out of $20$ .

$a = \frac{4 \cdot 9}{4 \cdot 5}$

Step 2.3.2.2.2

Cancel the common factor.

$a = \frac{4 \cdot 9}{4 \cdot 5}$

Step 2.3.2.2.3

Rewrite the expression.

$a = \frac{9}{5}$

$a = \frac{9}{5}$

$a = \frac{9}{5}$

$a = \frac{9}{5}$

$a = \frac{9}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$a = \frac{9}{5}$

Decimal Form:

$a = 1.8$

Mixed Number Form:

$a = 1 \frac{4}{5}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$