Solve 6,67*10^-11*6,39*10^23/3400

$$\frac { 6,67 \cdot 10 ^ { - 11 } \cdot 6,39 \cdot 10 ^ { 23 } } { 3400 }$$

Evaluate

$$\frac{213106500000}{17}\approx 12535676470,588235294$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -11 and 23 to get 12.

$$\frac{6,67\times 10^{12}\times 6,39}{3400}$$

Calculate 10 to the power of 12 and get 1000000000000.

$$\frac{6,67\times 1000000000000\times 6,39}{3400}$$

Multiply 6,67 and 1000000000000 to get 6670000000000.

$$\frac{6670000000000\times 6,39}{3400}$$

Multiply 6670000000000 and 6,39 to get 42621300000000.

$$\frac{42621300000000}{3400}$$

Reduce the fraction \frac{42621300000000}{3400} to lowest terms by extracting and canceling out 200.

$$\frac{213106500000}{17}$$

Factor

$$\frac{23 \cdot 29 \cdot 71 \cdot 2 ^ {5} \cdot 3 ^ {2} \cdot 5 ^ {6}}{17} = 12535676470\frac{10}{17} = 12535676470.588236$$