Solve [5(2)-4(2)^2/2-(2)^4/4]

$$[ 5 ( 2 ) - \frac { 4 ( 2 ) ^ { 2 } } { 2 } - \frac { ( 2 ) ^ { 4 } } { 4 } ]$$

Evaluate

$$-2$$

Solution Steps

Multiply 5 and 2 to get 10.

$$10-\frac{4\times 2^{2}}{2}-\frac{2^{4}}{4}$$

Calculate 2 to the power of 2 and get 4.

$$10-\frac{4\times 4}{2}-\frac{2^{4}}{4}$$

Multiply 4 and 4 to get 16.

$$10-\frac{16}{2}-\frac{2^{4}}{4}$$

Divide 16 by 2 to get 8.

$$10-8-\frac{2^{4}}{4}$$

Subtract 8 from 10 to get 2.

$$2-\frac{2^{4}}{4}$$

Calculate 2 to the power of 4 and get 16.

$$2-\frac{16}{4}$$

Divide 16 by 4 to get 4.

$$2-4$$

Subtract 4 from 2 to get -2.

$$-2$$

Factor

$$-2$$