Solve 1+2+2^2/1+2^-1+2^-2

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

Evaluate

$$4$$

Solution Steps

Add 1 and 2 to get 3.

$$\frac{3+2^{2}}{1+2^{-1}+2^{-2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{3+4}{1+2^{-1}+2^{-2}}$$

Add 3 and 4 to get 7.

$$\frac{7}{1+2^{-1}+2^{-2}}$$

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

$$\frac{7}{1+\frac{1}{2}+2^{-2}}$$

Add 1 and \frac{1}{2} to get \frac{3}{2}.

$$\frac{7}{\frac{3}{2}+2^{-2}}$$

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

$$\frac{7}{\frac{3}{2}+\frac{1}{4}}$$

Add \frac{3}{2} and \frac{1}{4} to get \frac{7}{4}.

$$\frac{7}{\frac{7}{4}}$$

Divide 7 by \frac{7}{4} by multiplying 7 by the reciprocal of \frac{7}{4}.

$$7\times \frac{4}{7}$$

Multiply 7 and \frac{4}{7} to get 4.

$$4$$

Factor

$$2^{2}$$