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

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

Evaluate

$$6$$

Solution Steps

Calculate \frac{4}{3} to the power of 2 and get \frac{16}{9}.

$$\frac{16}{9}\times \left(\frac{3}{2}\right)^{3}$$

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

$$\frac{16}{9}\times \frac{27}{8}$$

Multiply \frac{16}{9} times \frac{27}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 27}{9\times 8}$$

Do the multiplications in the fraction \frac{16\times 27}{9\times 8}.

$$\frac{432}{72}$$

Divide 432 by 72 to get 6.

$$6$$

Factor

$$2\times 3$$