Solve 9.8*(6.67*10^-11)*(6370/6370+100)

$$9.8 \times (6.67 \times { 10 }^{ -11 } ) \times ( \frac{ 6370 }{ 6370+100 } )$$

Evaluate

$$\frac{20819071}{32350000000000000}\approx 6.435570634 \cdot 10^{-10}$$

Solution Steps

Multiply 9.8 and 6.67 to get 65.366.

$$65.366\times 10^{-11}\times \frac{6370}{6370+100}$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$65.366\times \frac{1}{100000000000}\times \frac{6370}{6370+100}$$

Multiply 65.366 and \frac{1}{100000000000} to get \frac{32683}{50000000000000}.

$$\frac{32683}{50000000000000}\times \frac{6370}{6370+100}$$

Add 6370 and 100 to get 6470.

$$\frac{32683}{50000000000000}\times \frac{6370}{6470}$$

Reduce the fraction \frac{6370}{6470} to lowest terms by extracting and canceling out 10.

$$\frac{32683}{50000000000000}\times \frac{637}{647}$$

Multiply \frac{32683}{50000000000000} and \frac{637}{647} to get \frac{20819071}{32350000000000000}.

$$\frac{20819071}{32350000000000000}$$

Factor

$$\frac{13 \cdot 23 \cdot 29 \cdot 7 ^ {4}}{647 \cdot 2 ^ {13} \cdot 5 ^ {14}} = 6.435570633693972 \times 10^{-10}$$