Solve 1.05^2*1.08^3*left(1.10right)^3*1.12^2

$${ 1.05 }^{ 2 } \times { 1.08 }^{ 3 } \times { \left(1.10 \right) }^{ 3 } \times { 1.12 }^{ 2 }$$

Evaluate

$$2.318803597135872$$

Solution Steps

Calculate 1.05 to the power of 2 and get 1.1025.

$$1.1025\times 1.08^{3}\times 1.1^{3}\times 1.12^{2}$$

Calculate 1.08 to the power of 3 and get 1.259712.

$$1.1025\times 1.259712\times 1.1^{3}\times 1.12^{2}$$

Multiply 1.1025 and 1.259712 to get 1.38883248.

$$1.38883248\times 1.1^{3}\times 1.12^{2}$$

Calculate 1.1 to the power of 3 and get 1.331.

$$1.38883248\times 1.331\times 1.12^{2}$$

Multiply 1.38883248 and 1.331 to get 1.84853603088.

$$1.84853603088\times 1.12^{2}$$

Calculate 1.12 to the power of 2 and get 1.2544.

$$1.84853603088\times 1.2544$$

Multiply 1.84853603088 and 1.2544 to get 2.318803597135872.

$$2.318803597135872$$

Factor

$$\frac{3 ^ {11} \cdot 7 ^ {4} \cdot 11 ^ {3}}{2 ^ {3} \cdot 5 ^ {15}} = 2\frac{77832909457}{244140625000} = 2.318803597135872$$