Question

If x= (3/2)^2+(2/3)^-4, find x^-2

Answer 1

$x = ( \frac{3}{2} )^{2} + ( \frac{2}{3} )^{2} - 4 \\ x = \frac{9}{4} + \frac{9}{4} - 4 \\ x = \frac{9 + 9 - 16 }{4} \\ x = \frac{18 - 16}{4} \\ x = \frac{2}{4} \\ x = \frac{1}{2} \\ x = {1}^{ - 2} \\ {x}^{ - 2 } = ({1}^{ - 2} )^{ - 2} \\ {x}^{ - 2 } = 1$