Basic Math Examples

$m^{2} n \cdot (9 n p) \div 2 m$

Step 1

Rewrite the division as a fraction.

$\frac{m^{2} n \cdot (9 n p)}{2 m}$

Step 2

Multiply $n$ by $n$ by adding the exponents.

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Step 2.1

Move $n$ .

$\frac{m^{2} (n \cdot n) \cdot (9 p)}{2 m}$

Step 2.2

Multiply $n$ by $n$ .

$\frac{m^{2} n^{2} \cdot (9 p)}{2 m}$

$\frac{m^{2} n^{2} \cdot (9 p)}{2 m}$

Step 3

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

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Step 3.1

Factor $m$ out of $m^{2} n^{2} \cdot (9 p)$ .

$\frac{m (m n^{2} \cdot (9 p))}{2 m}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $m$ out of $2 m$ .

$\frac{m (m n^{2} \cdot (9 p))}{m \cdot 2}$

Step 3.2.2

Cancel the common factor.

$\frac{m (m n^{2} \cdot (9 p))}{m \cdot 2}$

Step 3.2.3

Rewrite the expression.

$\frac{m n^{2} \cdot (9 p)}{2}$

$\frac{m n^{2} \cdot (9 p)}{2}$

$\frac{m n^{2} \cdot (9 p)}{2}$

Step 4

Move $9$ to the left of $m n^{2}$ .

$\frac{9 m n^{2} p}{2}$

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