Solve 55^2*45^5/51^2

$$\frac{ { 55 }^{ 2 } \times { 45 }^{ 5 } }{ { 51 }^{ 2 } }$$

Evaluate

$$\frac{62021953125}{289}\approx 214608834.342560554$$

Solution Steps

Calculate 55 to the power of 2 and get 3025.

$$\frac{3025\times 45^{5}}{51^{2}}$$

Calculate 45 to the power of 5 and get 184528125.

$$\frac{3025\times 184528125}{51^{2}}$$

Multiply 3025 and 184528125 to get 558197578125.

$$\frac{558197578125}{51^{2}}$$

Calculate 51 to the power of 2 and get 2601.

$$\frac{558197578125}{2601}$$

Reduce the fraction \frac{558197578125}{2601} to lowest terms by extracting and canceling out 9.

$$\frac{62021953125}{289}$$

Factor

$$\frac{3 ^ {8} \cdot 5 ^ {7} \cdot 11 ^ {2}}{17 ^ {2}} = 214608834\frac{99}{289} = 214608834.34256056$$