Solve 2*10^-3/6*63*10^-34*6*10^14

$$\frac { 2 \times 10 ^ { - 3 } } { 6 \cdot 63 \times 10 ^ { - 34 } \times 6 \times 10 ^ { 14 } }$$

Evaluate

$$\frac{50000000000000000}{567}\approx 8.818342152 \cdot 10^{13}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -34 and 14 to get -20.

$$\frac{2\times 10^{-3}}{6\times 63\times 10^{-20}\times 6}$$

Cancel out 2 in both numerator and denominator.

$$\frac{10^{-3}}{3\times 6\times 63\times 10^{-20}}$$

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

$$\frac{10^{17}}{3\times 6\times 63}$$

Calculate 10 to the power of 17 and get 100000000000000000.

$$\frac{100000000000000000}{3\times 6\times 63}$$

Multiply 3 and 6 to get 18.

$$\frac{100000000000000000}{18\times 63}$$

Multiply 18 and 63 to get 1134.

$$\frac{100000000000000000}{1134}$$

Reduce the fraction \frac{100000000000000000}{1134} to lowest terms by extracting and canceling out 2.

$$\frac{50000000000000000}{567}$$

Factor

$$\frac{2 ^ {16} \cdot 5 ^ {17}}{3 ^ {4} \cdot 7} = 88183421516754\frac{482}{567} = 88183421516754.84$$