Basic Math Examples

{(24 \div 6 - 2 + 5 \cdot 3 \cdot (- 1 - 3) \div 4)}^{2}

${(24 \div 6 - 2 + 5 \cdot 3 \cdot (- 1 - 3) \div 4)}^{2}$

Step 1

Multiply

5

$5$ by

3

$3$ .

{(24 \div 6 - 2 + 15 \cdot (- 1 - 3) \div 4)}^{2}

${(24 \div 6 - 2 + 15 \cdot (- 1 - 3) \div 4)}^{2}$

Step 2

Subtract

3

$3$ from

- 1

$- 1$ .

{(24 \div 6 - 2 + 15 \cdot - 4 \div 4)}^{2}

${(24 \div 6 - 2 + 15 \cdot - 4 \div 4)}^{2}$

Step 3

Multiply

15

$15$ by

- 4

$- 4$ .

{(24 \div 6 - 2 + - 60 \div 4)}^{2}

${(24 \div 6 - 2 + - 60 \div 4)}^{2}$

Step 4

Find the common denominator.

Tap for more steps...

Step 4.1

Multiply

24 \div 6

$24 \div 6$ by

\frac{2}{2}

$\frac{2}{2}$ .

{(24 \div 6 \cdot \frac{2}{2} - 2 + - 60 \div 4)}^{2}

${(24 \div 6 \cdot \frac{2}{2} - 2 + - 60 \div 4)}^{2}$

Step 4.2

Multiply

24 \div 6

$24 \div 6$ by

\frac{2}{2}

$\frac{2}{2}$ .

{(\frac{24 \cdot 2}{6 \cdot 2} - 2 + - 60 \div 4)}^{2}

${(\frac{24 \cdot 2}{6 \cdot 2} - 2 + - 60 \div 4)}^{2}$

Step 4.3

Write

- 2

$- 2$ as a fraction with denominator

1

$1$ .

{(\frac{24 \cdot 2}{6 \cdot 2} + \frac{- 2}{1} + - 60 \div 4)}^{2}

${(\frac{24 \cdot 2}{6 \cdot 2} + \frac{- 2}{1} + - 60 \div 4)}^{2}$

Step 4.4

Multiply

\frac{- 2}{1}

$\frac{- 2}{1}$ by

\frac{12}{12}

$\frac{12}{12}$ .

{(\frac{24 \cdot 2}{6 \cdot 2} + \frac{- 2}{1} \cdot \frac{12}{12} + - 60 \div 4)}^{2}

${(\frac{24 \cdot 2}{6 \cdot 2} + \frac{- 2}{1} \cdot \frac{12}{12} + - 60 \div 4)}^{2}$

Step 4.5

Multiply

$\frac{- 2}{1}$ by

$\frac{12}{12}$ .

${(\frac{24 \cdot 2}{6 \cdot 2} + \frac{- 2 \cdot 12}{12} + - 60 \div 4)}^{2}$

Step 4.6

Multiply

$- 60 \div 4$ by

$\frac{3}{3}$ .

${(\frac{24 \cdot 2}{6 \cdot 2} + \frac{- 2 \cdot 12}{12} + - 60 \div 4 \cdot \frac{3}{3})}^{2}$

Step 4.7

Multiply

$- 60 \div 4$ by

$\frac{3}{3}$ .

${(\frac{24 \cdot 2}{6 \cdot 2} + \frac{- 2 \cdot 12}{12} + \frac{- 60 \cdot 3}{4 \cdot 3})}^{2}$

Step 4.8

Reorder the factors of

$6 \cdot 2$ .

${(\frac{24 \cdot 2}{2 \cdot 6} + \frac{- 2 \cdot 12}{12} + \frac{- 60 \cdot 3}{4 \cdot 3})}^{2}$

Step 4.9

Multiply

$2$ by

$6$ .

${(\frac{24 \cdot 2}{12} + \frac{- 2 \cdot 12}{12} + \frac{- 60 \cdot 3}{4 \cdot 3})}^{2}$

Step 4.10

Reorder the factors of

$4 \cdot 3$ .

${(\frac{24 \cdot 2}{12} + \frac{- 2 \cdot 12}{12} + \frac{- 60 \cdot 3}{3 \cdot 4})}^{2}$

Step 4.11

Multiply

$3$ by

$4$ .

${(\frac{24 \cdot 2}{12} + \frac{- 2 \cdot 12}{12} + \frac{- 60 \cdot 3}{12})}^{2}$

Step 5

Combine the numerators over the common denominator.

${(\frac{24 \cdot 2 - 2 \cdot 12 - 60 \cdot 3}{12})}^{2}$

Step 6

Simplify each term.

Tap for more steps...

Step 6.1

Multiply

$24$ by

$2$ .

${(\frac{48 - 2 \cdot 12 - 60 \cdot 3}{12})}^{2}$

Step 6.2

Multiply

$- 2$ by

$12$ .

${(\frac{48 - 24 - 60 \cdot 3}{12})}^{2}$

Step 6.3

Multiply

$- 60$ by

$3$ .

${(\frac{48 - 24 - 180}{12})}^{2}$

Step 7

Simplify the expression.

Tap for more steps...

Step 7.1

Subtract

$24$ from

$48$ .

${(\frac{24 - 180}{12})}^{2}$

Step 7.2

Subtract

$180$ from

$24$ .

${(\frac{- 156}{12})}^{2}$

Step 7.3

Divide

$- 156$ by

$12$ .

${(- 13)}^{2}$

Step 7.4

Raise

$- 13$ to the power of

$2$ .

$169$