Solve 3^2*10^4*125/5^4*6^4

$$3 ^ { 2 } \times 10 ^ { 4 } \times 125 / 5 ^ { 4 } \times 6 ^ { 4 }$$

Evaluate

$$45562500000000$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$9\times 10^{4}\times \left(\frac{125}{5}\right)^{4}\times 6^{4}$$

Calculate 10 to the power of 4 and get 10000.

$$9\times 10000\times \left(\frac{125}{5}\right)^{4}\times 6^{4}$$

Multiply 9 and 10000 to get 90000.

$$90000\times \left(\frac{125}{5}\right)^{4}\times 6^{4}$$

Divide 125 by 5 to get 25.

$$90000\times 25^{4}\times 6^{4}$$

Calculate 25 to the power of 4 and get 390625.

$$90000\times 390625\times 6^{4}$$

Multiply 90000 and 390625 to get 35156250000.

$$35156250000\times 6^{4}$$

Calculate 6 to the power of 4 and get 1296.

$$35156250000\times 1296$$

Multiply 35156250000 and 1296 to get 45562500000000.

$$45562500000000$$

Factor

$$2^{8}\times 3^{6}\times 5^{12}$$