Solve 6.67*10^-11*5.972*10^24/(6371000+500000)

$$\frac { 6.67 \times 10 ^ { - 11 } \times 5.972 \times 10 ^ { 24 } } { ( 6371000 + 500000 ) }$$

Evaluate

$$\frac{398332400000}{6871}\approx 57972987.920244506$$

Solution Steps

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

$$\frac{6.67\times 10^{13}\times 5.972}{6371000+500000}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{6.67\times 10000000000000\times 5.972}{6371000+500000}$$

Multiply 6.67 and 10000000000000 to get 66700000000000.

$$\frac{66700000000000\times 5.972}{6371000+500000}$$

Multiply 66700000000000 and 5.972 to get 398332400000000.

$$\frac{398332400000000}{6371000+500000}$$

Add 6371000 and 500000 to get 6871000.

$$\frac{398332400000000}{6871000}$$

Reduce the fraction \frac{398332400000000}{6871000} to lowest terms by extracting and canceling out 1000.

$$\frac{398332400000}{6871}$$

Factor

$$\frac{23 \cdot 29 \cdot 1493 \cdot 2 ^ {7} \cdot 5 ^ {5}}{6871} = 57972987\frac{6323}{6871} = 57972987.92024451$$