Basic Math Examples

$- 4^{2} \div 8 \cdot 3 - (- 14 + 8) \cdot \sqrt{9} + 21$

Step 1

Simplify each term.

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Step 1.1

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

$- 1 \cdot 16 \div 8 \cdot 3 - (- 14 + 8) \cdot \sqrt{9} + 21$

Step 1.2

Multiply $- 1$ by $16$ .

$- 16 \div 8 \cdot 3 - (- 14 + 8) \cdot \sqrt{9} + 21$

Step 1.3

Divide $- 16$ by $8$ .

$- 2 \cdot 3 - (- 14 + 8) \cdot \sqrt{9} + 21$

Step 1.4

Multiply $- 2$ by $3$ .

$- 6 - (- 14 + 8) \cdot \sqrt{9} + 21$

Step 1.5

Add $- 14$ and $8$ .

$- 6 - - 6 \cdot \sqrt{9} + 21$

Step 1.6

Multiply $- 1$ by $- 6$ .

$- 6 + 6 \cdot \sqrt{9} + 21$

Step 1.7

Rewrite $9$ as $3^{2}$ .

$- 6 + 6 \cdot \sqrt{3^{2}} + 21$

Step 1.8

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

$- 6 + 6 \cdot 3 + 21$

Step 1.9

Multiply $6$ by $3$ .

$- 6 + 18 + 21$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $- 6$ and $18$ .

$12 + 21$

Step 2.2

Add $12$ and $21$ .

$33$