Question

Evaluate:
(i) {(-2/3)2}-2
(ii) [{(-1/3)2}-2]-1
(iii) {(3/2)-2}2​

Answer 1

Answer:

i) -10/3

ii)-11/3

iii)-1

Answer 2

Here you go:

Answer:

Ans (i): -3⅓

Ans (ii): -3⅔

Ans (iii): -1

Step-by-step explanation:

(i) {(-2/3)2}-2

= { -2/3×2}-2

= {-4/3}-2

= -4-6/3《using 3 as LCM》

= -10/3 = -(3⅓) Ans

(ii) [{(-1/3)2}-2]-1

= [{-⅓×2}-2]-1

= [-⅔-2]-1

= [ -2-6/3]-1 《taking 3 as LCM》

= -8/3-1

= -8-3/3 《taking 3 as LCM》

= -11/3

= -3⅔ Ans

(iii) {(3/2)-2}2

= {3/2-2}×2

= {3-4/2}×2 《taking 2 as LCM》

= -½×2

= -1 Ans