Solve 66^77/306^38

$$\frac { 66 ^ { 77 } } { 306 ^ { 38 } }$$

Evaluate

$$\frac{253821170654647630358966772279221807518140033472429219285488053639179394410839766502782009344}{57155629504430816618802078994918975878812205409}\approx 4.440877878 \cdot 10^{45}$$

Solution Steps

Calculate 66 to the power of 77 and get 127316015002712725024996823827450919411351129158643807873318778077633686286816610254398613549028148573790434899358326117107662397756833529856.

$$\frac{127316015002712725024996823827450919411351129158643807873318778077633686286816610254398613549028148573790434899358326117107662397756833529856}{306^{38}}$$

Calculate 306 to the power of 38 and get 28669109691313136716131033320581749187256822133904302978597511625858240789696716335008150716416.

$$\frac{127316015002712725024996823827450919411351129158643807873318778077633686286816610254398613549028148573790434899358326117107662397756833529856}{28669109691313136716131033320581749187256822133904302978597511625858240789696716335008150716416}$$

Reduce the fraction \frac{127316015002712725024996823827450919411351129158643807873318778077633686286816610254398613549028148573790434899358326117107662397756833529856}{28669109691313136716131033320581749187256822133904302978597511625858240789696716335008150716416} to lowest terms by extracting and canceling out 501597304410594428739556550045321223614364647424.

$$\frac{253821170654647630358966772279221807518140033472429219285488053639179394410839766502782009344}{57155629504430816618802078994918975878812205409}$$

Factor

$$\frac{2 ^ {39} \cdot 3 \cdot 11 ^ {77}}{17 ^ {38}} = 4.44087787774205 \times 10^{45}\frac{4.972668165880673 \times 10^{45}}{5.715562950443082 \times 10^{46}} = 4.44087787774205 \times 10^{45}$$