Solve F=frac{(6.6*10^{-11})(7.3*10^22)}{(3.8*10^8-6.4*10^6)^2}

$$F = \frac { ( 6.6 \times 10 ^ { - 11 } ) ( 7.3 \times 10 ^ { 22 } ) } { ( 3.8 \times 10 ^ { 8 } - 6.4 \times 10 ^ { 6 } ) ^ { 2 } }$$

Solve for F

$$F=\frac{2409}{69788480}\approx 0.000034519$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add -11 and 22 to get 11.

$$F=\frac{6.6\times 10^{11}\times 7.3}{\left(3.8\times 10^{8}-6.4\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 11 and get 100000000000.

$$F=\frac{6.6\times 100000000000\times 7.3}{\left(3.8\times 10^{8}-6.4\times 10^{6}\right)^{2}}$$

Multiply 6.6 and 100000000000 to get 660000000000.

$$F=\frac{660000000000\times 7.3}{\left(3.8\times 10^{8}-6.4\times 10^{6}\right)^{2}}$$

Multiply 660000000000 and 7.3 to get 4818000000000.

$$F=\frac{4818000000000}{\left(3.8\times 10^{8}-6.4\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 8 and get 100000000.

$$F=\frac{4818000000000}{\left(3.8\times 100000000-6.4\times 10^{6}\right)^{2}}$$

Multiply 3.8 and 100000000 to get 380000000.

$$F=\frac{4818000000000}{\left(380000000-6.4\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 6 and get 1000000.

$$F=\frac{4818000000000}{\left(380000000-6.4\times 1000000\right)^{2}}$$

Multiply 6.4 and 1000000 to get 6400000.

$$F=\frac{4818000000000}{\left(380000000-6400000\right)^{2}}$$

Subtract 6400000 from 380000000 to get 373600000.

$$F=\frac{4818000000000}{373600000^{2}}$$

Calculate 373600000 to the power of 2 and get 139576960000000000.

$$F=\frac{4818000000000}{139576960000000000}$$

Reduce the fraction \frac{4818000000000}{139576960000000000} to lowest terms by extracting and canceling out 2000000000.

$$F=\frac{2409}{69788480}$$

Assign F

$$F≔\frac{2409}{69788480}$$