Solve (-2/9)^5*(-2/9)^-5/(frac{3{2})^4*(3/2)^-4}

$$\frac { ( \frac { - 2 } { 9 } ) ^ { 5 } \times ( \frac { - 2 } { 9 } ) ^ { - 5 } } { ( \frac { 3 } { 2 } ) ^ { 4 } \times ( \frac { 3 } { 2 } ) ^ { - 4 } }$$

Evaluate

$$1$$

Solution Steps

Multiply \left(\frac{-2}{9}\right)^{5} and \left(\frac{-2}{9}\right)^{-5} to get 1.

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

Multiply \left(\frac{3}{2}\right)^{4} and \left(\frac{3}{2}\right)^{-4} to get 1.

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

Divide 1 by 1 to get 1.

$$1$$

Factor

$$1$$