+3 votes
by kratos

Simplify:

(i) (4-1 × 3-1)2

(ii) (5-1 ÷ 6-1)3

(iii) (2-1 + 3-1)-1

1 Answer

+2 votes
by kratos
 
Best answer

(i) (4-1 × 3-1)2 ( a-n = 1/an)

= (1/4 × 1/3)2

= (1/12)2

= (1×1 / 12×12)

= 1/144

(ii) (5-1 ÷ 6-1)3

= ((1/5) / (1/6))3 (a-n = 1/an)

= ((1/5) × 6)3 (1/a ÷ 1/b = 1/a × b/1)

= (6/5)3

= (6×6×6) / (5×5×5)

= 216/125

(iii) (2-1 + 3-1)-1

(1/2 + 1/3)-1 (a-n = 1/an)

LCM of 2 and 3 is 6

= ((1×3 + 1×2)/6)-1

= (5/6)-1

= 6/5

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