Basic Math Examples

$2 (\frac{1}{2} \cdot 3.14 \cdot 2^{2})$

Step 1

Multiply $2$ by $2^{2}$ by adding the exponents.

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Step 1.1

Move $2^{2}$ .

$2^{2} \cdot 2 (\frac{1}{2} \cdot 3.14)$

Step 1.2

Multiply $2^{2}$ by $2$ .

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Step 1.2.1

Raise $2$ to the power of $1$ .

$2^{2} \cdot 2^{1} (\frac{1}{2} \cdot 3.14)$

Step 1.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2^{2 + 1} (\frac{1}{2} \cdot 3.14)$

$2^{2 + 1} (\frac{1}{2} \cdot 3.14)$

Step 1.3

Add $2$ and $1$ .

$2^{3} (\frac{1}{2} \cdot 3.14)$

$2^{3} (\frac{1}{2} \cdot 3.14)$

Step 2

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

$8 (\frac{1}{2} \cdot 3.14)$

Step 3

Combine $\frac{1}{2}$ and $3.14$ .

$8 (\frac{3.14}{2})$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $8$ .

$2 (4) \frac{3.14}{2}$

Step 4.2

Cancel the common factor.

$2 \cdot 4 \frac{3.14}{2}$

Step 4.3

Rewrite the expression.

$4 \cdot 3.14$

$4 \cdot 3.14$

Step 5

Multiply $4$ by $3.14$ .

$12.56$

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