Solve 6.2310^-115.96510^24/left(6371+640right)10^3

$$\frac{ 6.23 { 10 }^{ -11 } 5.965 { 10 }^{ 24 } }{ \left( 6371+640 \right) { 10 }^{ 3 } }$$

Evaluate

$$\frac{371619500000}{7011}\approx 53005206.104692626$$

Solution Steps

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

$$\frac{6.23\times 10^{13}\times 5.965}{\left(6371+640\right)\times 10^{3}}$$

Cancel out 10^{3} in both numerator and denominator.

$$\frac{5.965\times 6.23\times 10^{10}}{640+6371}$$

Multiply 5.965 and 6.23 to get 37.16195.

$$\frac{37.16195\times 10^{10}}{640+6371}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{37.16195\times 10000000000}{640+6371}$$

Multiply 37.16195 and 10000000000 to get 371619500000.

$$\frac{371619500000}{640+6371}$$

Add 640 and 6371 to get 7011.

$$\frac{371619500000}{7011}$$

Factor

$$\frac{7 \cdot 89 \cdot 1193 \cdot 2 ^ {5} \cdot 5 ^ {6}}{19 \cdot 41 \cdot 3 ^ {2}} = 53005206\frac{734}{7011} = 53005206.10469262$$