Solve 2*6.67*10^-11*2*10^30/(3*10^8)^2

$$\frac { 2 \times 6.67 \times 10 ^ { - 11 } \times 2 \times 10 ^ { 30 } } { ( 3 \times 10 ^ { 8 } ) ^ { 2 } }$$

Evaluate

$$\frac{26680}{9}\approx 2964.444444444$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -11 and 30 to get 19.

$$\frac{2\times 6.67\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}}$$

Multiply 2 and 6.67 to get 13.34.

$$\frac{13.34\times 10^{19}\times 2}{\left(3\times 10^{8}\right)^{2}}$$

Calculate 10 to the power of 19 and get 10000000000000000000.

$$\frac{13.34\times 10000000000000000000\times 2}{\left(3\times 10^{8}\right)^{2}}$$

Multiply 13.34 and 10000000000000000000 to get 133400000000000000000.

$$\frac{133400000000000000000\times 2}{\left(3\times 10^{8}\right)^{2}}$$

Multiply 133400000000000000000 and 2 to get 266800000000000000000.

$$\frac{266800000000000000000}{\left(3\times 10^{8}\right)^{2}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{266800000000000000000}{\left(3\times 100000000\right)^{2}}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{266800000000000000000}{300000000^{2}}$$

Calculate 300000000 to the power of 2 and get 90000000000000000.

$$\frac{266800000000000000000}{90000000000000000}$$

Reduce the fraction \frac{266800000000000000000}{90000000000000000} to lowest terms by extracting and canceling out 10000000000000000.

$$\frac{26680}{9}$$

Factor

$$\frac{5 \cdot 23 \cdot 29 \cdot 2 ^ {3}}{3 ^ {2}} = 2964\frac{4}{9} = 2964.4444444444443$$