Solve (6.67*10^-11)*(5.98*10^24)/6500^2

$$\frac{ (6.67 \times { 10 }^{ -11 } ) \times (5.98 \times { 10 }^{ 24 } ) }{ { 6500 }^{ 2 } }$$

Evaluate

$$\frac{122728000}{13}\approx 9440615.384615385$$

Solution Steps

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

$$\frac{6.67\times 10^{13}\times 5.98}{6500^{2}}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{6.67\times 10000000000000\times 5.98}{6500^{2}}$$

Multiply 6.67 and 10000000000000 to get 66700000000000.

$$\frac{66700000000000\times 5.98}{6500^{2}}$$

Multiply 66700000000000 and 5.98 to get 398866000000000.

$$\frac{398866000000000}{6500^{2}}$$

Calculate 6500 to the power of 2 and get 42250000.

$$\frac{398866000000000}{42250000}$$

Reduce the fraction \frac{398866000000000}{42250000} to lowest terms by extracting and canceling out 3250000.

$$\frac{122728000}{13}$$

Factor

$$\frac{29 \cdot 2 ^ {6} \cdot 5 ^ {3} \cdot 23 ^ {2}}{13} = 9440615\frac{5}{13} = 9440615.384615384$$