Basic Math Examples

$3 + \sqrt[6]{64} \div 5^{2}$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$3 + \frac{\sqrt[6]{64}}{5^{2}}$

Step 1.2

Simplify the numerator.

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Step 1.2.1

Rewrite $64$ as $2^{6}$ .

$3 + \frac{\sqrt[6]{2^{6}}}{5^{2}}$

Step 1.2.2

Pull terms out from under the radical, assuming positive real numbers.

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

Step 1.3

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

$3 + \frac{2}{25}$

Step 2

To write $3$ as a fraction with a common denominator, multiply by $\frac{25}{25}$ .

$3 \cdot \frac{25}{25} + \frac{2}{25}$

Step 3

Combine $3$ and $\frac{25}{25}$ .

$\frac{3 \cdot 25}{25} + \frac{2}{25}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 25 + 2}{25}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3$ by $25$ .

$\frac{75 + 2}{25}$

Step 5.2

Add $75$ and $2$ .

$\frac{77}{25}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{77}{25}$

Decimal Form:

$3.08$

Mixed Number Form:

$3 \frac{2}{25}$