Solve (16100)^2(3.9*10^10)/6.67*10^-11

$$\frac { ( 16100 ) ^ { 2 } ( 3.9 \times 10 ^ { 10 } ) } { 6.67 \times 10 ^ { - 11 } }$$

Evaluate

$$\frac{4395300000000000000000000000000}{29}\approx 1.51562069 \cdot 10^{29}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{3.9\times 10^{21}\times 16100^{2}}{6.67}$$

Calculate 10 to the power of 21 and get 1000000000000000000000.

$$\frac{3.9\times 1000000000000000000000\times 16100^{2}}{6.67}$$

Multiply 3.9 and 1000000000000000000000 to get 3900000000000000000000.

$$\frac{3900000000000000000000\times 16100^{2}}{6.67}$$

Calculate 16100 to the power of 2 and get 259210000.

$$\frac{3900000000000000000000\times 259210000}{6.67}$$

Multiply 3900000000000000000000 and 259210000 to get 1010919000000000000000000000000.

$$\frac{1010919000000000000000000000000}{6.67}$$

Expand \frac{1010919000000000000000000000000}{6.67} by multiplying both numerator and the denominator by 100.

$$\frac{101091900000000000000000000000000}{667}$$

Reduce the fraction \frac{101091900000000000000000000000000}{667} to lowest terms by extracting and canceling out 23.

$$\frac{4395300000000000000000000000000}{29}$$

Factor

$$\frac{3 \cdot 13 \cdot 23 \cdot 2 ^ {26} \cdot 5 ^ {26} \cdot 7 ^ {2}}{29} = 1.5156206896551725 \times 10^{29}$$