Solve 5,97*10^24/7030*6,67*10^-11

$$\frac { 5,97 \cdot 10 ^ { 24 } } { 7030 } \cdot 6,67 \cdot 10 ^ { - 11 }$$

Evaluate

$$\frac{39819900000000}{703}\approx 56642816500,711237553$$

Solution Steps

Calculate 10 to the power of 24 and get 1000000000000000000000000.

$$\frac{5,97\times 1000000000000000000000000}{7030}\times 6,67\times 10^{-11}$$

Multiply 5,97 and 1000000000000000000000000 to get 5970000000000000000000000.

$$\frac{5970000000000000000000000}{7030}\times 6,67\times 10^{-11}$$

Reduce the fraction \frac{5970000000000000000000000}{7030} to lowest terms by extracting and canceling out 10.

$$\frac{597000000000000000000000}{703}\times 6,67\times 10^{-11}$$

Multiply \frac{597000000000000000000000}{703} and 6,67 to get \frac{3981990000000000000000000}{703}.

$$\frac{3981990000000000000000000}{703}\times 10^{-11}$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$\frac{3981990000000000000000000}{703}\times \frac{1}{100000000000}$$

Multiply \frac{3981990000000000000000000}{703} and \frac{1}{100000000000} to get \frac{39819900000000}{703}.

$$\frac{39819900000000}{703}$$

Factor

$$\frac{3 \cdot 23 \cdot 29 \cdot 199 \cdot 2 ^ {8} \cdot 5 ^ {8}}{19 \cdot 37} = 56642816500\frac{500}{703} = 56642816500.711235$$