Algebra Examples

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

Step 1

Evaluate the exponents.

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Step 1.1

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

$\frac{4}{2^{3}} \cdot 2^{5}$

Step 1.2

Raise $2$ to the power of $3$ .

$\frac{4}{8} \cdot 2^{5}$

$\frac{4}{8} \cdot 2^{5}$

Step 2

Cancel the common factor of $4$ and $8$ .

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Step 2.1

Factor $4$ out of $4$ .

$\frac{4 (1)}{8} \cdot 2^{5}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $8$ .

$\frac{4 \cdot 1}{4 \cdot 2} \cdot 2^{5}$

Step 2.2.2

Cancel the common factor.

$\frac{4 \cdot 1}{4 \cdot 2} \cdot 2^{5}$

Step 2.2.3

Rewrite the expression.

$\frac{1}{2} \cdot 2^{5}$

$\frac{1}{2} \cdot 2^{5}$

$\frac{1}{2} \cdot 2^{5}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $2^{5}$ .

$\frac{1}{2} \cdot (2 \cdot 2^{4})$

Step 3.2

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot 2^{4})$

Step 3.3

Rewrite the expression.

$2^{4}$

$2^{4}$

Step 4

Raise $2$ to the power of $4$ .

$16$

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