Solve 3^3/2:(2/3)^4=

$$\frac { 3 ^ { 3 } } { 2 } : ( \frac { 2 } { 3 } ) ^ { 4 } =$$

Evaluate

$$\frac{2187}{32}=68.34375$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$\frac{\frac{27}{2}}{\left(\frac{2}{3}\right)^{4}}$$

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

$$\frac{\frac{27}{2}}{\frac{16}{81}}$$

Divide \frac{27}{2} by \frac{16}{81} by multiplying \frac{27}{2} by the reciprocal of \frac{16}{81}.

$$\frac{27}{2}\times \frac{81}{16}$$

Multiply \frac{27}{2} times \frac{81}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 81}{2\times 16}$$

Do the multiplications in the fraction \frac{27\times 81}{2\times 16}.

$$\frac{2187}{32}$$

Factor

$$\frac{3 ^ {7}}{2 ^ {5}} = 68\frac{11}{32} = 68.34375$$