Solve 34.361*0.8/2*10^11*14*10^-4

$$\frac{ 34.361 \times 0.8 }{ 2 \times { 10 }^{ 11 } \times 14 \times { 10 }^{ -4 } }$$

Evaluate

$$\frac{34361}{350000000000}\approx 0.000000098$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 11 and -4 to get 7.

$$\frac{34.361\times 0.8}{2\times 10^{7}\times 14}$$

Multiply 34.361 and 0.8 to get 27.4888.

$$\frac{27.4888}{2\times 10^{7}\times 14}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{27.4888}{2\times 10000000\times 14}$$

Multiply 2 and 10000000 to get 20000000.

$$\frac{27.4888}{20000000\times 14}$$

Multiply 20000000 and 14 to get 280000000.

$$\frac{27.4888}{280000000}$$

Expand \frac{27.4888}{280000000} by multiplying both numerator and the denominator by 10000.

$$\frac{274888}{2800000000000}$$

Reduce the fraction \frac{274888}{2800000000000} to lowest terms by extracting and canceling out 8.

$$\frac{34361}{350000000000}$$

Factor

$$\frac{34361}{7 \cdot 2 ^ {10} \cdot 5 ^ {11}} = 9.817428571428572 \times 10^{-8}$$