Solve (3/2)^4*(2/3)^3

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

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

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

$$\frac{81}{16}\times \left(\frac{2}{3}\right)^{3}$$

Calculate \frac{2}{3} to the power of 3 and get \frac{8}{27}.

$$\frac{81}{16}\times \frac{8}{27}$$

Multiply \frac{81}{16} times \frac{8}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{81\times 8}{16\times 27}$$

Do the multiplications in the fraction \frac{81\times 8}{16\times 27}.

$$\frac{648}{432}$$

Reduce the fraction \frac{648}{432} to lowest terms by extracting and canceling out 216.

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

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$