Solve frac{3^{3}*5^7*6^3}{5^2*10^7}

$$\frac { 3 ^ { 3 } \times 5 ^ { 7 } \times 6 ^ { 3 } } { 5 ^ { 2 } \times 10 ^ { 7 } }$$

Evaluate

$$\frac{729}{400}=1.8225$$

Solution Steps

Cancel out 5^{2} in both numerator and denominator.

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

Calculate 3 to the power of 3 and get 27.

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

Calculate 5 to the power of 5 and get 3125.

$$\frac{27\times 3125\times 6^{3}}{10^{7}}$$

Multiply 27 and 3125 to get 84375.

$$\frac{84375\times 6^{3}}{10^{7}}$$

Calculate 6 to the power of 3 and get 216.

$$\frac{84375\times 216}{10^{7}}$$

Multiply 84375 and 216 to get 18225000.

$$\frac{18225000}{10^{7}}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{18225000}{10000000}$$

Reduce the fraction \frac{18225000}{10000000} to lowest terms by extracting and canceling out 25000.

$$\frac{729}{400}$$

Factor

$$\frac{3 ^ {6}}{2 ^ {4} \cdot 5 ^ {2}} = 1\frac{329}{400} = 1.8225$$