Solve 19102/10^2(101)^4*20/1925

$$\frac { 19102 } { 10 ^ { 2 } ( 101 ) ^ { 4 } } \times \frac { 20 } { 1925 }$$

Evaluate

$$\frac{19102}{1001581359625}\approx 0.000000019$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$\frac{19102}{100\times 101^{4}}\times \frac{20}{1925}$$

Calculate 101 to the power of 4 and get 104060401.

$$\frac{19102}{100\times 104060401}\times \frac{20}{1925}$$

Multiply 100 and 104060401 to get 10406040100.

$$\frac{19102}{10406040100}\times \frac{20}{1925}$$

Reduce the fraction \frac{19102}{10406040100} to lowest terms by extracting and canceling out 2.

$$\frac{9551}{5203020050}\times \frac{20}{1925}$$

Reduce the fraction \frac{20}{1925} to lowest terms by extracting and canceling out 5.

$$\frac{9551}{5203020050}\times \frac{4}{385}$$

Multiply \frac{9551}{5203020050} times \frac{4}{385} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9551\times 4}{5203020050\times 385}$$

Do the multiplications in the fraction \frac{9551\times 4}{5203020050\times 385}.

$$\frac{38204}{2003162719250}$$

Reduce the fraction \frac{38204}{2003162719250} to lowest terms by extracting and canceling out 2.

$$\frac{19102}{1001581359625}$$

Factor

$$\frac{2 \cdot 9551}{5 ^ {3} \cdot 7 \cdot 11 \cdot 101 ^ {4}} = 1.9071840561361824 \times 10^{-8}$$