Solve 9.8*6371^2/7.6^2-6371000

$$\frac{ 9.8 \times { 6371 }^{ 2 } }{ { 7.6 }^{ 2 } } -6371000$$

Evaluate

$$\frac{744738045}{1444}\approx 515746.568559557$$

Solution Steps

Calculate 6371 to the power of 2 and get 40589641.

$$\frac{9.8\times 40589641}{7.6^{2}}-6371000$$

Multiply 9.8 and 40589641 to get 397778481.8.

$$\frac{397778481.8}{7.6^{2}}-6371000$$

Calculate 7.6 to the power of 2 and get 57.76.

$$\frac{397778481.8}{57.76}-6371000$$

Expand \frac{397778481.8}{57.76} by multiplying both numerator and the denominator by 100.

$$\frac{39777848180}{5776}-6371000$$

Reduce the fraction \frac{39777848180}{5776} to lowest terms by extracting and canceling out 4.

$$\frac{9944462045}{1444}-6371000$$

Convert 6371000 to fraction \frac{9199724000}{1444}.

$$\frac{9944462045}{1444}-\frac{9199724000}{1444}$$

Since \frac{9944462045}{1444} and \frac{9199724000}{1444} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9944462045-9199724000}{1444}$$

Subtract 9199724000 from 9944462045 to get 744738045.

$$\frac{744738045}{1444}$$

Factor

$$\frac{3 \cdot 5 \cdot 23 \cdot 277 \cdot 7793}{2 ^ {2} \cdot 19 ^ {2}} = 515746\frac{821}{1444} = 515746.5685595568$$