Solve =6.67*10^-11*6,42*10^23*2340*9/2403,4*10^6

$$= \frac { 6.67 \cdot 10 ^ { - 11 } \cdot 6,42 \cdot 10 ^ { 23 } \cdot 2340 \cdot 9 } { 2403,4 \cdot 10 ^ { 6 } }$$

Evaluate

$$\frac{4509093420000}{12017}\approx 375226214.52941666$$

Solution Steps

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

$$\frac{6.67\times 10^{12}\times 6.42\times 2340\times 9}{2403.4\times 10^{6}}$$

Cancel out 10^{6} in both numerator and denominator.

$$\frac{6.42\times 6.67\times 9\times 2340\times 10^{6}}{2403.4}$$

Multiply 6.42 and 6.67 to get 42.8214.

$$\frac{42.8214\times 9\times 2340\times 10^{6}}{2403.4}$$

Multiply 42.8214 and 9 to get 385.3926.

$$\frac{385.3926\times 2340\times 10^{6}}{2403.4}$$

Multiply 385.3926 and 2340 to get 901818.684.

$$\frac{901818.684\times 10^{6}}{2403.4}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{901818.684\times 1000000}{2403.4}$$

Multiply 901818.684 and 1000000 to get 901818684000.

$$\frac{901818684000}{2403.4}$$

Expand \frac{901818684000}{2403.4} by multiplying both numerator and the denominator by 10.

$$\frac{9018186840000}{24034}$$

Reduce the fraction \frac{9018186840000}{24034} to lowest terms by extracting and canceling out 2.

$$\frac{4509093420000}{12017}$$

Factor

$$\frac{13 \cdot 23 \cdot 29 \cdot 107 \cdot 2 ^ {5} \cdot 3 ^ {5} \cdot 5 ^ {4}}{61 \cdot 197} = 375226214\frac{6362}{12017} = 375226214.5294167$$