Algebra Examples

$\frac{2^{3} \cdot 3^{2}}{2^{4} \cdot 3^{2}}$

Step 1

Cancel the common factor of $2^{3}$ and $2^{4}$ .

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Step 1.1

Factor $2^{3}$ out of $2^{3} \cdot 3^{2}$ .

$\frac{2^{3} (3^{2})}{2^{4} \cdot 3^{2}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2^{3}$ out of $2^{4} \cdot 3^{2}$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

$\frac{3^{2}}{2 \cdot 3^{2}}$

$\frac{3^{2}}{2 \cdot 3^{2}}$

$\frac{3^{2}}{2 \cdot 3^{2}}$

Step 2

Cancel the common factor of $3^{2}$ .

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Step 2.1

Cancel the common factor.

$\frac{3^{2}}{2 \cdot 3^{2}}$

Step 2.2

Rewrite the expression.

$\frac{1}{2}$

$\frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

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