Algebra Examples

${(9 \cdot \frac{5}{6})}^{2}$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Factor $3$ out of $9$ .

${(3 (3) \cdot \frac{5}{6})}^{2}$

Step 1.2

Factor $3$ out of $6$ .

${(3 \cdot 3 \cdot \frac{5}{3 \cdot 2})}^{2}$

Step 1.3

Cancel the common factor.

${(3 \cdot 3 \cdot \frac{5}{3 \cdot 2})}^{2}$

Step 1.4

Rewrite the expression.

${(3 \cdot \frac{5}{2})}^{2}$

${(3 \cdot \frac{5}{2})}^{2}$

Step 2

Combine $3$ and $\frac{5}{2}$ .

${(\frac{3 \cdot 5}{2})}^{2}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $3$ by $5$ .

${(\frac{15}{2})}^{2}$

Step 3.2

Apply the product rule to $\frac{15}{2}$ .

$\frac{15^{2}}{2^{2}}$

Step 3.3

Raise $15$ to the power of $2$ .

$\frac{225}{2^{2}}$

Step 3.4

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

$\frac{225}{4}$

$\frac{225}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{225}{4}$

Decimal Form:

$56.25$

Mixed Number Form:

$56 \frac{1}{4}$

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