Solve 6*63*10^-34/2*3.14*9.1*10^-31*0.529*10^-10

$$\frac { 6 \cdot 63 \times 10 ^ { - 34 } } { 2 \times 3.14 \times 9.1 \times 10 ^ { - 31 } \times 0.529 \times 10 ^ { - 10 } }$$

Evaluate

$$\frac{135000000000000}{1079689}\approx 125036005.738689567$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -31 and -10 to get -41.

$$\frac{6\times 63\times 10^{-34}}{2\times 3.14\times 9.1\times 10^{-41}\times 0.529}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\times 63\times 10^{-34}}{0.529\times 3.14\times 9.1\times 10^{-41}}$$

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

$$\frac{3\times 63\times 10^{7}}{0.529\times 3.14\times 9.1}$$

Multiply 3 and 63 to get 189.

$$\frac{189\times 10^{7}}{0.529\times 3.14\times 9.1}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{189\times 10000000}{0.529\times 3.14\times 9.1}$$

Multiply 189 and 10000000 to get 1890000000.

$$\frac{1890000000}{0.529\times 3.14\times 9.1}$$

Multiply 0.529 and 3.14 to get 1.66106.

$$\frac{1890000000}{1.66106\times 9.1}$$

Multiply 1.66106 and 9.1 to get 15.115646.

$$\frac{1890000000}{15.115646}$$

Expand \frac{1890000000}{15.115646} by multiplying both numerator and the denominator by 1000000.

$$\frac{1890000000000000}{15115646}$$

Reduce the fraction \frac{1890000000000000}{15115646} to lowest terms by extracting and canceling out 14.

$$\frac{135000000000000}{1079689}$$

Factor

$$\frac{2 ^ {12} \cdot 3 ^ {3} \cdot 5 ^ {13}}{13 \cdot 157 \cdot 23 ^ {2}} = 125036005\frac{797555}{1079689} = 125036005.73868957$$