Solve 10*2^20*8/100*10^6*10^3

$$\frac { 10 \times 2 ^ { 20 } \times 8 } { 100 \times 10 ^ { 6 } } \times 10 ^ { 3 }$$

Evaluate

$$\frac{524288}{625}=838.8608$$

Solution Steps

Cancel out 2\times 10 in both numerator and denominator.

$$\frac{4\times 2^{20}}{5\times 10^{6}}\times 10^{3}$$

Calculate 2 to the power of 20 and get 1048576.

$$\frac{4\times 1048576}{5\times 10^{6}}\times 10^{3}$$

Multiply 4 and 1048576 to get 4194304.

$$\frac{4194304}{5\times 10^{6}}\times 10^{3}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{4194304}{5\times 1000000}\times 10^{3}$$

Multiply 5 and 1000000 to get 5000000.

$$\frac{4194304}{5000000}\times 10^{3}$$

Reduce the fraction \frac{4194304}{5000000} to lowest terms by extracting and canceling out 64.

$$\frac{65536}{78125}\times 10^{3}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{65536}{78125}\times 1000$$

Express \frac{65536}{78125}\times 1000 as a single fraction.

$$\frac{65536\times 1000}{78125}$$

Multiply 65536 and 1000 to get 65536000.

$$\frac{65536000}{78125}$$

Reduce the fraction \frac{65536000}{78125} to lowest terms by extracting and canceling out 125.

$$\frac{524288}{625}$$

Factor

$$\frac{2 ^ {19}}{5 ^ {4}} = 838\frac{538}{625} = 838.8608$$