Solve 6.6710^-112000*5.9810^24/6380000

$$\frac{ 6.67 { 10 }^{ -11 } 2000 \cdot 5.98 { 10 }^{ 24 } }{ 6380000 }$$

Evaluate

$$\frac{1375400000000}{11}\approx 125036363636.363636364$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -11 and 24 to get 13.

$$\frac{6.67\times 10^{13}\times 2000\times 5.98}{6380000}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{6.67\times 10000000000000\times 2000\times 5.98}{6380000}$$

Multiply 6.67 and 10000000000000 to get 66700000000000.

$$\frac{66700000000000\times 2000\times 5.98}{6380000}$$

Multiply 66700000000000 and 2000 to get 133400000000000000.

$$\frac{133400000000000000\times 5.98}{6380000}$$

Multiply 133400000000000000 and 5.98 to get 797732000000000000.

$$\frac{797732000000000000}{6380000}$$

Reduce the fraction \frac{797732000000000000}{6380000} to lowest terms by extracting and canceling out 580000.

$$\frac{1375400000000}{11}$$

Factor

$$\frac{13 \cdot 2 ^ {9} \cdot 5 ^ {8} \cdot 23 ^ {2}}{11} = 125036363636\frac{4}{11} = 125036363636.36363$$