Basic Math Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{2}{5} \cdot \frac{1}{2^{6}}$

Step 2

Combine.

$\frac{2 \cdot 1}{5 \cdot 2^{6}}$

Step 3

Cancel the common factor of $2$ and $2^{6}$ .

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Step 3.1

Factor $2$ out of $2 \cdot 1$ .

$\frac{2 (1)}{5 \cdot 2^{6}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $5 \cdot 2^{6}$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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

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

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

Step 4

Simplify the expression.

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Step 4.1

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

$\frac{1}{5 \cdot 32}$

Step 4.2

Multiply $5$ by $32$ .

$\frac{1}{160}$

$\frac{1}{160}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{160}$

Decimal Form:

$0.00625$

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