Solve {left(45/60^right)}^3

$${ \left( \frac{ 45 }{ { 60 }^{ } } \right) }^{ 3 }$$

Evaluate

$$\frac{27}{64}=0.421875$$

Solution Steps

Calculate 60 to the power of 1 and get 60.

$$\left(\frac{45}{60}\right)^{3}$$

Reduce the fraction \frac{45}{60} to lowest terms by extracting and canceling out 15.

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

Calculate \frac{3}{4} to the power of 3 and get \frac{27}{64}.

$$\frac{27}{64}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {6}} = 0.421875$$