Solve 21*2^104div2/150

$$\frac{ 21 \times { 2 }^{ 10 } 4 \div 2 }{ 150 }$$

Evaluate

$$\frac{7168}{25}=286.72$$

Solution Steps

Express \frac{\frac{21\times 2^{10}\times 4}{2}}{150} as a single fraction.

$$\frac{21\times 2^{10}\times 4}{2\times 150}$$

Cancel out 2\times 2\times 3 in both numerator and denominator.

$$\frac{2\times 7\times 2^{9}}{25}$$

To multiply powers of the same base, add their exponents. Add 1 and 9 to get 10.

$$\frac{2^{10}\times 7}{25}$$

Calculate 2 to the power of 10 and get 1024.

$$\frac{1024\times 7}{25}$$

Multiply 1024 and 7 to get 7168.

$$\frac{7168}{25}$$

Factor

$$\frac{2 ^ {10} \cdot 7}{5 ^ {2}} = 286\frac{18}{25} = 286.72$$