Solve (-648):54-[75:(-5)+24:(-8)]:(-3)^2=

$$( - 648 ) : 54 - [ 75 : ( - 5 ) + 24 : ( - 8 ) ] : ( - 3 ) ^ { 2 } =$$

Evaluate

$$-10$$

Solution Steps

Divide -648 by 54 to get -12.

$$-12-\frac{\frac{75}{-5}+\frac{24}{-8}}{\left(-3\right)^{2}}$$

Divide 75 by -5 to get -15.

$$-12-\frac{-15+\frac{24}{-8}}{\left(-3\right)^{2}}$$

Divide 24 by -8 to get -3.

$$-12-\frac{-15-3}{\left(-3\right)^{2}}$$

Subtract 3 from -15 to get -18.

$$-12-\frac{-18}{\left(-3\right)^{2}}$$

Calculate -3 to the power of 2 and get 9.

$$-12-\frac{-18}{9}$$

Divide -18 by 9 to get -2.

$$-12-\left(-2\right)$$

The opposite of -2 is 2.

$$-12+2$$

Add -12 and 2 to get -10.

$$-10$$

Factor

$$-10$$