Solve 2*3.14*9.1*10^-24/1.6*10^-19*0.5

$$\frac{ 2 \times 3.14 \times 9.1 \times { 10 }^{ -24 } }{ 1.6 \times { 10 }^{ -19 } \times 0.5 }$$

Evaluate

$$0.00071435$$

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{2\times 3.14\times 9.1}{0.5\times 1.6\times 10^{5}}$$

Multiply 2 and 3.14 to get 6.28.

$$\frac{6.28\times 9.1}{0.5\times 1.6\times 10^{5}}$$

Multiply 6.28 and 9.1 to get 57.148.

$$\frac{57.148}{0.5\times 1.6\times 10^{5}}$$

Multiply 0.5 and 1.6 to get 0.8.

$$\frac{57.148}{0.8\times 10^{5}}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{57.148}{0.8\times 100000}$$

Multiply 0.8 and 100000 to get 80000.

$$\frac{57.148}{80000}$$

Expand \frac{57.148}{80000} by multiplying both numerator and the denominator by 1000.

$$\frac{57148}{80000000}$$

Reduce the fraction \frac{57148}{80000000} to lowest terms by extracting and canceling out 4.

$$\frac{14287}{20000000}$$

Factor

$$\frac{7 \cdot 13 \cdot 157}{2 ^ {8} \cdot 5 ^ {7}} = 0.00071435$$