Solve -2^{3}-[3^2-(2^3-3^2)^51]

$$- 2 ^ { 3 } - [ 3 ^ { 2 } - ( 2 ^ { 3 } - 3 ^ { 2 } ) ^ { 51 } ]$$

Evaluate

$$-18$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$-8-\left(3^{2}-\left(2^{3}-3^{2}\right)^{51}\right)$$

Calculate 3 to the power of 2 and get 9.

$$-8-\left(9-\left(2^{3}-3^{2}\right)^{51}\right)$$

Calculate 2 to the power of 3 and get 8.

$$-8-\left(9-\left(8-3^{2}\right)^{51}\right)$$

Calculate 3 to the power of 2 and get 9.

$$-8-\left(9-\left(8-9\right)^{51}\right)$$

Subtract 9 from 8 to get -1.

$$-8-\left(9-\left(-1\right)^{51}\right)$$

Calculate -1 to the power of 51 and get -1.

$$-8-\left(9-\left(-1\right)\right)$$

The opposite of -1 is 1.

$$-8-\left(9+1\right)$$

Add 9 and 1 to get 10.

$$-8-10$$

Subtract 10 from -8 to get -18.

$$-18$$

Factor

$$-18$$