Solve 2^7^3div9^2

$$2 ^ { 7 ^ { 3 } } \div 9 ^ { 2 }$$

Evaluate

$$\frac{17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208}{81}\approx 2.212093573 \cdot 10^{101}$$

Solution Steps

Calculate 7 to the power of 3 and get 343.

$$\frac{2^{343}}{9^{2}}$$

Calculate 2 to the power of 343 and get 17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208.

$$\frac{17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208}{9^{2}}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208}{81}$$

Factor

$$\frac{2 ^ {343}}{3 ^ {4}} = 2.212093572521288 \times 10^{101}\frac{56}{81} = 2.212093572521288 \times 10^{101}$$