Solve 1^-8-2^-2+8/2^22^-2

$$\frac{ { 1 }^{ -8 } - { 2 }^{ -2 } +8 }{ { 2 }^{ 2 } { 2 }^{ -2 } }$$

Evaluate

$$\frac{35}{4}=8.75$$

Solution Steps

Multiply 2^{2} and 2^{-2} to get 1.

$$\frac{1^{-8}-2^{-2}+8}{1}$$

Calculate 1 to the power of -8 and get 1.

$$\frac{1-2^{-2}+8}{1}$$

Calculate 2 to the power of -2 and get \frac{1}{4}.

$$\frac{1-\frac{1}{4}+8}{1}$$

Subtract \frac{1}{4} from 1 to get \frac{3}{4}.

$$\frac{\frac{3}{4}+8}{1}$$

Add \frac{3}{4} and 8 to get \frac{35}{4}.

$$\frac{\frac{35}{4}}{1}$$

Anything divided by one gives itself.

$$\frac{35}{4}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2}} = 8\frac{3}{4} = 8.75$$