Algebra Examples

$(6^{2} - 3^{3}) \div 2$

Step 1

Rewrite the division as a fraction.

$\frac{6^{2} - 3^{3}}{2}$

Step 2

Simplify the numerator.

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Step 2.1

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

$\frac{36 - 3^{3}}{2}$

Step 2.2

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

$\frac{36 - 1 \cdot 27}{2}$

Step 2.3

Multiply $- 1$ by $27$ .

$\frac{36 - 27}{2}$

Step 2.4

Subtract $27$ from $36$ .

$\frac{9}{2}$

$\frac{9}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{2}$

Decimal Form:

$4.5$

Mixed Number Form:

$4 \frac{1}{2}$

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