Solve 6.67*10^-11*1.9*10^27/(71492000)^2

$$\frac { 6.67 \times 10 ^ { - 11 } \times 1.9 \times 10 ^ { 27 } } { ( 71492000 ) ^ { 2 } }$$

Evaluate

$$\frac{7920625000}{319444129}\approx 24.795024485$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -11 and 27 to get 16.

$$\frac{6.67\times 10^{16}\times 1.9}{71492000^{2}}$$

Calculate 10 to the power of 16 and get 10000000000000000.

$$\frac{6.67\times 10000000000000000\times 1.9}{71492000^{2}}$$

Multiply 6.67 and 10000000000000000 to get 66700000000000000.

$$\frac{66700000000000000\times 1.9}{71492000^{2}}$$

Multiply 66700000000000000 and 1.9 to get 126730000000000000.

$$\frac{126730000000000000}{71492000^{2}}$$

Calculate 71492000 to the power of 2 and get 5111106064000000.

$$\frac{126730000000000000}{5111106064000000}$$

Reduce the fraction \frac{126730000000000000}{5111106064000000} to lowest terms by extracting and canceling out 16000000.

$$\frac{7920625000}{319444129}$$

Factor

$$\frac{19 \cdot 23 \cdot 29 \cdot 2 ^ {3} \cdot 5 ^ {7}}{61 ^ {2} \cdot 293 ^ {2}} = 24\frac{253965904}{319444129} = 24.795024484547657$$