Solve 3.14*1.29*6*10^23*(2*10^-10)/6*0.029

$$\frac{ 3.14 \cdot 1.29 \cdot 6 \times { 10 }^{ 23 } \times (2 \times { 10 }^{ -10 } ) }{ 6 \cdot 0.029 }$$

Evaluate

$$\frac{81012000000000000}{29}\approx 2.793517241 \cdot 10^{15}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 23 and -10 to get 13.

$$\frac{3.14\times 1.29\times 6\times 10^{13}\times 2}{6\times 0.029}$$

Cancel out 6 in both numerator and denominator.

$$\frac{1.29\times 2\times 3.14\times 10^{13}}{0.029}$$

Multiply 1.29 and 2 to get 2.58.

$$\frac{2.58\times 3.14\times 10^{13}}{0.029}$$

Multiply 2.58 and 3.14 to get 8.1012.

$$\frac{8.1012\times 10^{13}}{0.029}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{8.1012\times 10000000000000}{0.029}$$

Multiply 8.1012 and 10000000000000 to get 81012000000000.

$$\frac{81012000000000}{0.029}$$

Expand \frac{81012000000000}{0.029} by multiplying both numerator and the denominator by 1000.

$$\frac{81012000000000000}{29}$$

Factor

$$\frac{3 \cdot 43 \cdot 157 \cdot 2 ^ {14} \cdot 5 ^ {12}}{29} = 2793517241379310\frac{10}{29} = 2793517241379310.5$$