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

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

Evaluate

$$-36$$

Solution Steps

Divide -45 by -9 to get 5.

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

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

$$-\left(5-16\left(-2\right)-\left(-1\right)^{4}\right)$$

Multiply 16 and -2 to get -32.

$$-\left(5-\left(-32\right)-\left(-1\right)^{4}\right)$$

The opposite of -32 is 32.

$$-\left(5+32-\left(-1\right)^{4}\right)$$

Add 5 and 32 to get 37.

$$-\left(37-\left(-1\right)^{4}\right)$$

Calculate -1 to the power of 4 and get 1.

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

Subtract 1 from 37 to get 36.

$$-36$$

Factor

$$-36$$