Evaluate 3(3)^2-21/(3(3))

$3 {(3)}^{2} - \frac{21}{3 (3)}$

Simplify each term.

Multiply $3$ by ${(3)}^{2}$ by adding the exponents.

Multiply $3$ by ${(3)}^{2}$ .

Raise $3$ to the power of $1$ .

$3^{1} {(3)}^{2} - \frac{21}{3 (3)}$

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

$3^{1 + 2} - \frac{21}{3 (3)}$

Add $1$ and $2$ .

$3^{3} - \frac{21}{3 (3)}$

Raise $3$ to the power of $3$ .

$27 - \frac{21}{3 (3)}$

Cancel the common factor of $21$ and $3$ .

Factor $3$ out of $21$ .

$27 - \frac{3 \cdot 7}{3 \cdot 3}$

Cancel the common factors.

Factor $3$ out of $3 \cdot 3$ .

$27 - \frac{3 \cdot 7}{3 (3)}$

Cancel the common factor.

$27 - \frac{3 \cdot 7}{3 \cdot 3}$

Rewrite the expression.

$27 - \frac{7}{3}$

To write $27$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$27 \cdot \frac{3}{3} - \frac{7}{3}$

Combine $27$ and $\frac{3}{3}$ .

$\frac{27 \cdot 3}{3} - \frac{7}{3}$

Combine the numerators over the common denominator.

$\frac{27 \cdot 3 - 7}{3}$

Simplify the numerator.

Multiply $27$ by $3$ .

$\frac{81 - 7}{3}$

Subtract $7$ from $81$ .

$\frac{74}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{74}{3}$

Decimal Form:

$24.\overline{6}$

Mixed Number Form:

$24 \frac{2}{3}$