Solve left(1.1^10right)^2^2

$${ \left( { 1.1 }^{ 10 } \right) }^{ { 2 }^{ 2 } }$$

Evaluate

$$45.2592555681759518058893560348969204658401$$

Solution Steps

Calculate 1.1 to the power of 10 and get 2.5937424601.

$$2.5937424601^{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$2.5937424601^{4}$$

Calculate 2.5937424601 to the power of 4 and get 45.2592555681759518058893560348969204658401.

$$45.2592555681759518058893560348969204658401$$

Factor

$$\frac{11 ^ {40}}{2 ^ {40} \cdot 5 ^ {40}} = 45\frac{2.5925556817594897 \times 10^{39}}{1 \times 10^{40}} = 45.25925556817595$$