Solve 6*6*6*6*6/3*3*3*3*3*3*3=

$$\frac { 6 \cdot 6 \cdot 6 \cdot 6 \cdot 6 } { 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 } =$$

Evaluate

$$\frac{32}{9}\approx 3.555555556$$

Solution Steps

Cancel out 3\times 3\times 3\times 3\times 3 in both numerator and denominator.

$$\frac{2\times 2\times 2\times 2\times 2}{3\times 3}$$

Multiply 2 and 2 to get 4.

$$\frac{4\times 2\times 2\times 2}{3\times 3}$$

Multiply 4 and 2 to get 8.

$$\frac{8\times 2\times 2}{3\times 3}$$

Multiply 8 and 2 to get 16.

$$\frac{16\times 2}{3\times 3}$$

Multiply 16 and 2 to get 32.

$$\frac{32}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{32}{9}$$

Factor

$$\frac{2 ^ {5}}{3 ^ {2}} = 3\frac{5}{9} = 3.5555555555555554$$