Solve 6600*25*25*25*25/27*27*27*27

$$\frac { 6600 \times 25 \times 25 \times 25 \times 25 } { 27 \times 27 \times 27 \times 27 }$$

Evaluate

$$\frac{859375000}{177147}\approx 4851.197028457$$

Solution Steps

Cancel out 3 in both numerator and denominator.

$$\frac{25\times 25\times 25\times 25\times 2200}{9\times 27\times 27\times 27}$$

Multiply 25 and 25 to get 625.

$$\frac{625\times 25\times 25\times 2200}{9\times 27\times 27\times 27}$$

Multiply 625 and 25 to get 15625.

$$\frac{15625\times 25\times 2200}{9\times 27\times 27\times 27}$$

Multiply 15625 and 25 to get 390625.

$$\frac{390625\times 2200}{9\times 27\times 27\times 27}$$

Multiply 390625 and 2200 to get 859375000.

$$\frac{859375000}{9\times 27\times 27\times 27}$$

Multiply 9 and 27 to get 243.

$$\frac{859375000}{243\times 27\times 27}$$

Multiply 243 and 27 to get 6561.

$$\frac{859375000}{6561\times 27}$$

Multiply 6561 and 27 to get 177147.

$$\frac{859375000}{177147}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {10} \cdot 11}{3 ^ {11}} = 4851\frac{34903}{177147} = 4851.197028456592$$