Question

What is (2/3)^2 x (2/3)^-4

Answer 1

(2/3)^2 x (2/3)^-4

= (2/3)^(2-4)

= (2/3)^-2

= (3/2)²

= 9/4

Answer 2

~ ExponentiaL

$= ( { \frac{2}{3} })^{2} \times ({ \frac{2}{3} })^{ - 4} \\ = ( { \frac{2}{3} })^{2 - 4} \\ = ( { \frac{2}{3} })^{ - 2} \\ = \frac{1}{( { \frac{2}{3} })^{2}} \\ = \frac{1}{ \frac{4}{9} } \\ = \frac{9}{4}$

Hope it can help you !