Solve 2^3lceil(-16)div(+2)-(-1^9rceil

$${ 2 }^{ 3 } \lceil (-16) \div (+2)-(- { 1 }^{ 9 } \rceil$$

Evaluate

$$-56$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$8\lceil \frac{-16}{2}-\left(-1^{9}\right)\rceil$$

Divide -16 by 2 to get -8.

$$8\lceil -8-\left(-1^{9}\right)\rceil$$

Calculate 1 to the power of 9 and get 1.

$$8\lceil -8-\left(-1\right)\rceil$$

The opposite of -1 is 1.

$$8\lceil -8+1\rceil$$

Add -8 and 1 to get -7.

$$8\lceil -7\rceil$$

The ceiling of a real number a is the smallest integer number greater than or equal to a. The ceiling of -7 is -7.

$$8\left(-7\right)$$

Multiply 8 and -7 to get -56.

$$-56$$

Factor

$$-56$$