Solve left(2^3-24-3right)^2left(4+4+2-26right)^3

$${ \left( { 2 }^{ 3 } -24-3 \right) }^{ 2 } { \left(4+4+2-26 \right) }^{ 3 }$$

Evaluate

$$-1478656$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\left(8-24-3\right)^{2}\left(4+4+2-26\right)^{3}$$

Subtract 24 from 8 to get -16.

$$\left(-16-3\right)^{2}\left(4+4+2-26\right)^{3}$$

Subtract 3 from -16 to get -19.

$$\left(-19\right)^{2}\left(4+4+2-26\right)^{3}$$

Calculate -19 to the power of 2 and get 361.

$$361\left(4+4+2-26\right)^{3}$$

Add 4 and 4 to get 8.

$$361\left(8+2-26\right)^{3}$$

Add 8 and 2 to get 10.

$$361\left(10-26\right)^{3}$$

Subtract 26 from 10 to get -16.

$$361\left(-16\right)^{3}$$

Calculate -16 to the power of 3 and get -4096.

$$361\left(-4096\right)$$

Multiply 361 and -4096 to get -1478656.

$$-1478656$$

Factor

$$-1478656$$