Solve {left(8/6right)}^1*{left(3/2right)}^4=

$${ \left( \frac{ 8 }{ 6 } \right) }^{ 1 } \times { \left( \frac{ 3 }{ 2 } \right) }^{ 4 } =$$

Evaluate

$$\frac{27}{4}=6.75$$

Solution Steps

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

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

Calculate \frac{4}{3} to the power of 1 and get \frac{4}{3}.

$$\frac{4}{3}\times \left(\frac{3}{2}\right)^{4}$$

Calculate \frac{3}{2} to the power of 4 and get \frac{81}{16}.

$$\frac{4}{3}\times \frac{81}{16}$$

Multiply \frac{4}{3} and \frac{81}{16} to get \frac{27}{4}.

$$\frac{27}{4}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2}} = 6\frac{3}{4} = 6.75$$