simplify the following and express the result in the form of negative exponent. [ ( -2/3)^ -2 ]^3 × (1/3)^-4 × 3^-1 × 1/12
Hey!
Given question can be simplified as
[(-2/3)^-2] ^3 x (1/3)^-4 x (3)^-1 x (1/12)
= (3/-2)^6 x (3)^4 x (1/3) x (1/4) x 1/3
= (3/-2)^5 x (3)^3 x (1/4)
= (3)^8 x (1/-2)^5 x (1/2)^2
= (3)^8 x (1/-2)^7
= (1/3)^-8 x (-2)^-7
This is the answer.
Answer may vary from the actual answer depending on solving method.
Thank you