Solve 160+20*2^10/10*1.5*2^10/20=

$$160 + 20 \times 2 ^ { 10 } / 10 \times 1.5 \times 2 ^ { 10 } / 20 =$$

Evaluate

$$157446.4$$

Solution Steps

Calculate 2 to the power of 10 and get 1024.

$$160+\frac{\frac{20\times 1024}{10}\times 1.5\times 2^{10}}{20}$$

Multiply 20 and 1024 to get 20480.

$$160+\frac{\frac{20480}{10}\times 1.5\times 2^{10}}{20}$$

Divide 20480 by 10 to get 2048.

$$160+\frac{2048\times 1.5\times 2^{10}}{20}$$

Multiply 2048 and 1.5 to get 3072.

$$160+\frac{3072\times 2^{10}}{20}$$

Calculate 2 to the power of 10 and get 1024.

$$160+\frac{3072\times 1024}{20}$$

Multiply 3072 and 1024 to get 3145728.

$$160+\frac{3145728}{20}$$

Reduce the fraction \frac{3145728}{20} to lowest terms by extracting and canceling out 4.

$$160+\frac{786432}{5}$$

Convert 160 to fraction \frac{800}{5}.

$$\frac{800}{5}+\frac{786432}{5}$$

Since \frac{800}{5} and \frac{786432}{5} have the same denominator, add them by adding their numerators.

$$\frac{800+786432}{5}$$

Add 800 and 786432 to get 787232.

$$\frac{787232}{5}$$

Factor

$$\frac{73 \cdot 337 \cdot 2 ^ {5}}{5} = 157446\frac{2}{5} = 157446.4$$