Solve [49:(24-35+4]^2+[-36-(-10-21)]

$$[ 49 : ( 24 - 35 + 4 ] ^ { 2 } + [ - 36 - ( - 10 - 21 ) ]$$

Evaluate

$$44$$

Solution Steps

Subtract 35 from 24 to get -11.

$$\left(\frac{49}{-11+4}\right)^{2}+-36-\left(-10-21\right)$$

Add -11 and 4 to get -7.

$$\left(\frac{49}{-7}\right)^{2}+-36-\left(-10-21\right)$$

Divide 49 by -7 to get -7.

$$\left(-7\right)^{2}+-36-\left(-10-21\right)$$

Calculate -7 to the power of 2 and get 49.

$$49+-36-\left(-10-21\right)$$

Subtract 21 from -10 to get -31.

$$49+-36-\left(-31\right)$$

The opposite of -31 is 31.

$$49-36+31$$

Add -36 and 31 to get -5.

$$49-5$$

Subtract 5 from 49 to get 44.

$$44$$

Factor

$$2^{2}\times 11$$