Solve (6*6310^-34/1*67410^-247*100)*10^7

$$( \frac{ 6 \cdot 63 { 10 }^{ -34 } }{ 1 \cdot 674 { 10 }^{ -24 } 7 \cdot 100 } ) \times { 10 }^{ 7 }$$

Evaluate

$$\frac{27}{33700000}\approx 0.000000801$$

Solution Steps

Cancel out 2\times 7 in both numerator and denominator.

$$\frac{3\times 9\times 10^{-34}}{100\times 337\times 10^{-24}}\times 10^{7}$$

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

$$\frac{3\times 9}{100\times 337\times 10^{10}}\times 10^{7}$$

Multiply 3 and 9 to get 27.

$$\frac{27}{100\times 337\times 10^{10}}\times 10^{7}$$

Multiply 100 and 337 to get 33700.

$$\frac{27}{33700\times 10^{10}}\times 10^{7}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{27}{33700\times 10000000000}\times 10^{7}$$

Multiply 33700 and 10000000000 to get 337000000000000.

$$\frac{27}{337000000000000}\times 10^{7}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{27}{337000000000000}\times 10000000$$

Multiply \frac{27}{337000000000000} and 10000000 to get \frac{27}{33700000}.

$$\frac{27}{33700000}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {5} \cdot 5 ^ {5} \cdot 337} = 8.011869436201781 \times 10^{-7}$$