Solve 66-[3-[-13+3*(-2)^2]^5]-[4-(-2)^3]+6=

$$66 - [ 3 - [ - 13 + 3 \cdot ( - 2 ) ^ { 2 } ] ^ { 5 } ] - [ 4 - ( - 2 ) ^ { 3 } ] + 6 =$$

Evaluate

$$56$$

Solution Steps

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

$$66-\left(3-\left(-13+3\times 4\right)^{5}\right)-\left(4-\left(-2\right)^{3}\right)+6$$

Multiply 3 and 4 to get 12.

$$66-\left(3-\left(-13+12\right)^{5}\right)-\left(4-\left(-2\right)^{3}\right)+6$$

Add -13 and 12 to get -1.

$$66-\left(3-\left(-1\right)^{5}\right)-\left(4-\left(-2\right)^{3}\right)+6$$

Calculate -1 to the power of 5 and get -1.

$$66-\left(3-\left(-1\right)\right)-\left(4-\left(-2\right)^{3}\right)+6$$

The opposite of -1 is 1.

$$66-\left(3+1\right)-\left(4-\left(-2\right)^{3}\right)+6$$

Add 3 and 1 to get 4.

$$66-4-\left(4-\left(-2\right)^{3}\right)+6$$

Subtract 4 from 66 to get 62.

$$62-\left(4-\left(-2\right)^{3}\right)+6$$

Calculate -2 to the power of 3 and get -8.

$$62-\left(4-\left(-8\right)\right)+6$$

The opposite of -8 is 8.

$$62-\left(4+8\right)+6$$

Add 4 and 8 to get 12.

$$62-12+6$$

Subtract 12 from 62 to get 50.

$$50+6$$

Add 50 and 6 to get 56.

$$56$$

Factor

$$2^{3}\times 7$$