Question

3/2to the power of -2 (3°-3to the power of -1)​

Answer 1

Answer:

Step-by-step explanation:

(3/2) ^ -2 ( 3° - 3^-1 ) (∵ " ^ " this symbol means "to the power of " )

= (3/2)^-2 ( 1 - 1/3 ) (∵ (a)^-m = 1/(a)^m )

= (3/2)^-2 ( 3-1 / 3)

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

= 1/(3/2)^2 ( 2/3) (∵(a)^-m = 1/(a)^m

= 1 / (9/4) (2/3)

=(4/9)(2/3)

= (4×2)/(9×3)

= 8/27 is the answer.