Solve -(-2)(4)^3-7(-2)^3-(4)^3

$$- ( - 2 ) ( 4 ) ^ { 3 } - 7 ( - 2 ) ^ { 3 } - ( 4 ) ^ { 3 }$$

Evaluate

$$120$$

Solution Steps

The opposite of -2 is 2.

$$2\times 4^{3}-7\left(-2\right)^{3}-4^{3}$$

Calculate 4 to the power of 3 and get 64.

$$2\times 64-7\left(-2\right)^{3}-4^{3}$$

Multiply 2 and 64 to get 128.

$$128-7\left(-2\right)^{3}-4^{3}$$

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

$$128-7\left(-8\right)-4^{3}$$

Multiply 7 and -8 to get -56.

$$128-\left(-56\right)-4^{3}$$

The opposite of -56 is 56.

$$128+56-4^{3}$$

Add 128 and 56 to get 184.

$$184-4^{3}$$

Calculate 4 to the power of 3 and get 64.

$$184-64$$

Subtract 64 from 184 to get 120.

$$120$$

Factor

$$2^{3}\times 3\times 5$$