Solve F=6.7*10^-11*6*10^24*1/(6.4*10^6)^2

$$F = \frac { 6.7 \times 10 ^ { - 11 } \times 6 \times 10 ^ { 24 } \times 1 } { ( 6.4 \times 10 ^ { 6 } ) ^ { 2 } }$$

Solve for F

$$F=9.814453125$$

Steps for Solving Linear Equation

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

$$F=\frac{6.7\times 10^{13}\times 6\times 1}{\left(6.4\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$F=\frac{6.7\times 10000000000000\times 6\times 1}{\left(6.4\times 10^{6}\right)^{2}}$$

Multiply 6.7 and 10000000000000 to get 67000000000000.

$$F=\frac{67000000000000\times 6\times 1}{\left(6.4\times 10^{6}\right)^{2}}$$

Multiply 67000000000000 and 6 to get 402000000000000.

$$F=\frac{402000000000000\times 1}{\left(6.4\times 10^{6}\right)^{2}}$$

Multiply 402000000000000 and 1 to get 402000000000000.

$$F=\frac{402000000000000}{\left(6.4\times 10^{6}\right)^{2}}$$

Calculate 10 to the power of 6 and get 1000000.

$$F=\frac{402000000000000}{\left(6.4\times 1000000\right)^{2}}$$

Multiply 6.4 and 1000000 to get 6400000.

$$F=\frac{402000000000000}{6400000^{2}}$$

Calculate 6400000 to the power of 2 and get 40960000000000.

$$F=\frac{402000000000000}{40960000000000}$$

Reduce the fraction \frac{402000000000000}{40960000000000} to lowest terms by extracting and canceling out 80000000000.

$$F=\frac{5025}{512}$$

Assign F

$$F≔9.814453125$$