Solve 6^3*3^2/7^3*9^2

$$\frac { 6 ^ { 3 } \cdot 3 ^ { 2 } } { 7 ^ { 3 } \cdot 9 ^ { 2 } }$$

Evaluate

$$\frac{24}{343}\approx 0.069970845$$

Solution Steps

Calculate 6 to the power of 3 and get 216.

$$\frac{216\times 3^{2}}{7^{3}\times 9^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{216\times 9}{7^{3}\times 9^{2}}$$

Multiply 216 and 9 to get 1944.

$$\frac{1944}{7^{3}\times 9^{2}}$$

Calculate 7 to the power of 3 and get 343.

$$\frac{1944}{343\times 9^{2}}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{1944}{343\times 81}$$

Multiply 343 and 81 to get 27783.

$$\frac{1944}{27783}$$

Reduce the fraction \frac{1944}{27783} to lowest terms by extracting and canceling out 81.

$$\frac{24}{343}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{7 ^ {3}} = 0.06997084548104957$$