Evaluate 9*(5/6)^2

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

Step 1

Simplify the expression.

Apply the product rule to $\frac{5}{6}$ .

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

Raise $5$ to the power of $2$ .

$9 \cdot \frac{25}{6^{2}}$

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

$9 \cdot \frac{25}{36}$

$9 \cdot \frac{25}{36}$

Step 2

Cancel the common factor of $9$ .

Factor $9$ out of $36$ .

$9 \cdot \frac{25}{9 (4)}$

Cancel the common factor.

$9 \cdot \frac{25}{9 \cdot 4}$

Rewrite the expression.

$\frac{25}{4}$

$\frac{25}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{4}$

Decimal Form:

$6.25$

Mixed Number Form:

$6 \frac{1}{4}$

Related Questions