Solve 667*10^-11190*10^27*(108*10^23)/(19*10^6)*(19*{10^6)}

$$667 \times { 10 }^{ -11 } \frac{ 190 \times { 10 }^{ 27 } \times (108 \times { 10 }^{ 23 } ) }{ (19 \times { 10 }^{ 6 } ) \times (19 \times { 10 }^{ 6 } ) }$$

Evaluate

$$\frac{720360000000000000000000000000000}{19}\approx 3.791368421 \cdot 10^{31}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 27 and 23 to get 50.

$$667\times 10^{-11}\times \frac{190\times 10^{50}\times 108}{19\times 10^{6}\times 19\times 10^{6}}$$

To multiply powers of the same base, add their exponents. Add 6 and 6 to get 12.

$$667\times 10^{-11}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$667\times \frac{1}{100000000000}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

Multiply 667 and \frac{1}{100000000000} to get \frac{667}{100000000000}.

$$\frac{667}{100000000000}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

Cancel out 10\times 19\times 10^{11} in both numerator and denominator.

$$\frac{667}{100000000000}\times \frac{108\times 10^{39}}{19}$$

Calculate 10 to the power of 39 and get 1000000000000000000000000000000000000000.

$$\frac{667}{100000000000}\times \frac{108\times 1000000000000000000000000000000000000000}{19}$$

Multiply 108 and 1000000000000000000000000000000000000000 to get 108000000000000000000000000000000000000000.

$$\frac{667}{100000000000}\times \frac{108000000000000000000000000000000000000000}{19}$$

Multiply \frac{667}{100000000000} and \frac{108000000000000000000000000000000000000000}{19} to get \frac{720360000000000000000000000000000}{19}.

$$\frac{720360000000000000000000000000000}{19}$$

Factor

$$\frac{2 ^ {30} \cdot 3 ^ {3} \cdot 5 ^ {28} \cdot 23 \cdot 29}{19} = 3.7913684210526317 \times 10^{31}\frac{6}{19} = 3.7913684210526317 \times 10^{31}$$