Solve 2(2)-52^2/4-2^4

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

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4-5\times 2^{2}}{4-2^{4}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{4-5\times 4}{4-2^{4}}$$

Multiply 5 and 4 to get 20.

$$\frac{4-20}{4-2^{4}}$$

Subtract 20 from 4 to get -16.

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

Calculate 2 to the power of 4 and get 16.

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

Subtract 16 from 4 to get -12.

$$\frac{-16}{-12}$$

Reduce the fraction \frac{-16}{-12} to lowest terms by extracting and canceling out -4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$