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

$$( \frac { 2 } { 3 } ) ^ { - 4 } \cdot 2 ^ { - 4 } ( \frac { 3 } { 2 } ) ^ { - 4 }$$

Evaluate

$$\frac{1}{16}=0.0625$$

Solution Steps

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

$$\frac{81}{16}\times 2^{-4}\times \left(\frac{3}{2}\right)^{-4}$$

Calculate 2 to the power of -4 and get \frac{1}{16}.

$$\frac{81}{16}\times \frac{1}{16}\times \left(\frac{3}{2}\right)^{-4}$$

Multiply \frac{81}{16} and \frac{1}{16} to get \frac{81}{256}.

$$\frac{81}{256}\times \left(\frac{3}{2}\right)^{-4}$$

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

$$\frac{81}{256}\times \frac{16}{81}$$

Multiply \frac{81}{256} and \frac{16}{81} to get \frac{1}{16}.

$$\frac{1}{16}$$

Factor

$$\frac{1}{2 ^ {4}} = 0.0625$$