Solve -|-45:[-9]-(-4)^2*(-2)-(-1)

$$- | - 45 : [ - 9 ] - ( - 4 ) ^ { 2 } \cdot ( - 2 ) - ( - 1 )$$

Evaluate

$$-38$$

Solution Steps

Divide -45 by -9 to get 5.

$$-|5-\left(-4\right)^{2}\left(-2\right)-\left(-1\right)|$$

Calculate -4 to the power of 2 and get 16.

$$-|5-16\left(-2\right)-\left(-1\right)|$$

Multiply 16 and -2 to get -32.

$$-|5-\left(-32\right)-\left(-1\right)|$$

The opposite of -32 is 32.

$$-|5+32-\left(-1\right)|$$

Add 5 and 32 to get 37.

$$-|37-\left(-1\right)|$$

The opposite of -1 is 1.

$$-|37+1|$$

Add 37 and 1 to get 38.

$$-|38|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 38 is 38.

$$-38$$

Factor

$$-38$$