Solve {left(15/2right)}^3*{left(2/5right)}^3

$${ \left( \frac{ 15 }{ 2 } \right) }^{ 3 } \times { \left( \frac{ 2 }{ 5 } \right) }^{ 3 }$$

Evaluate

$$27$$

Solution Steps

Calculate \frac{15}{2} to the power of 3 and get \frac{3375}{8}.

$$\frac{3375}{8}\times \left(\frac{2}{5}\right)^{3}$$

Calculate \frac{2}{5} to the power of 3 and get \frac{8}{125}.

$$\frac{3375}{8}\times \frac{8}{125}$$

Multiply \frac{3375}{8} times \frac{8}{125} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3375\times 8}{8\times 125}$$

Cancel out 8 in both numerator and denominator.

$$\frac{3375}{125}$$

Divide 3375 by 125 to get 27.

$$27$$

Factor

$$3^{3}$$