Solve {left(3/4*4*1/6/frac{5{6}*6*1/10}right)}^3

$${ \left( \frac{ \frac{ 3 }{ 4 } \times 4 \times \frac{ 1 }{ 6 } }{ \frac{ 5 }{ 6 } \times 6 \times \frac{ 1 }{ 10 } } \right) }^{ 3 }$$

Evaluate

$$1$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\left(\frac{\frac{1}{6}\times \frac{3}{4}\times 2}{\frac{1}{10}\times \frac{5}{6}\times 3}\right)^{3}$$

Multiply \frac{1}{6} and \frac{3}{4} to get \frac{1}{8}.

$$\left(\frac{\frac{1}{8}\times 2}{\frac{1}{10}\times \frac{5}{6}\times 3}\right)^{3}$$

Multiply \frac{1}{8} and 2 to get \frac{1}{4}.

$$\left(\frac{\frac{1}{4}}{\frac{1}{10}\times \frac{5}{6}\times 3}\right)^{3}$$

Multiply \frac{1}{10} and \frac{5}{6} to get \frac{1}{12}.

$$\left(\frac{\frac{1}{4}}{\frac{1}{12}\times 3}\right)^{3}$$

Multiply \frac{1}{12} and 3 to get \frac{1}{4}.

$$\left(\frac{\frac{1}{4}}{\frac{1}{4}}\right)^{3}$$

Divide \frac{1}{4} by \frac{1}{4} to get 1.

$$1^{3}$$

Calculate 1 to the power of 3 and get 1.

$$1$$

Factor

$$1$$