Solve 3^3*10^3*25/5^7*6^5

$$\frac { 3 ^ { 3 } \times 10 ^ { 3 } \times 25 } { 5 ^ { 7 } \times 6 ^ { 5 } }$$

Evaluate

$$\frac{1}{900}\approx 0.001111111$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$\frac{27\times 10^{3}\times 25}{5^{7}\times 6^{5}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{27\times 1000\times 25}{5^{7}\times 6^{5}}$$

Multiply 27 and 1000 to get 27000.

$$\frac{27000\times 25}{5^{7}\times 6^{5}}$$

Multiply 27000 and 25 to get 675000.

$$\frac{675000}{5^{7}\times 6^{5}}$$

Calculate 5 to the power of 7 and get 78125.

$$\frac{675000}{78125\times 6^{5}}$$

Calculate 6 to the power of 5 and get 7776.

$$\frac{675000}{78125\times 7776}$$

Multiply 78125 and 7776 to get 607500000.

$$\frac{675000}{607500000}$$

Reduce the fraction \frac{675000}{607500000} to lowest terms by extracting and canceling out 675000.

$$\frac{1}{900}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0.0011111111111111111$$