Solve 2(6.67*10^-11)(2*10^30)/0.7

$$\frac { 2 ( 6.67 \times 10 ^ { - 11 } ) ( 2 \times 10 ^ { 30 } ) } { 0.7 }$$

Evaluate

$$\frac{2668000000000000000000}{7}\approx 3.811428571 \cdot 10^{20}$$

Solution Steps

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

$$\frac{2\times 6.67\times 10^{19}\times 2}{0.7}$$

Multiply 2 and 6.67 to get 13.34.

$$\frac{13.34\times 10^{19}\times 2}{0.7}$$

Calculate 10 to the power of 19 and get 10000000000000000000.

$$\frac{13.34\times 10000000000000000000\times 2}{0.7}$$

Multiply 13.34 and 10000000000000000000 to get 133400000000000000000.

$$\frac{133400000000000000000\times 2}{0.7}$$

Multiply 133400000000000000000 and 2 to get 266800000000000000000.

$$\frac{266800000000000000000}{0.7}$$

Expand \frac{266800000000000000000}{0.7} by multiplying both numerator and the denominator by 10.

$$\frac{2668000000000000000000}{7}$$

Factor

$$\frac{23 \cdot 29 \cdot 2 ^ {20} \cdot 5 ^ {18}}{7} = 3.811428571428572 \times 10^{20}\frac{1}{7} = 3.811428571428572 \times 10^{20}$$