The value of 27-⅓ (27-⅓ - 27-⅔)-¹ is:
(a) -3/2
(c) 3/2
(b) 18
(d) -2/3
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Step-by-step explanation:
27-⅓ (27-⅓ - 27-⅔)-¹
= 3³×-⅓ (3³×-⅓ - 3³×-⅔)-¹
= 3-¹ (3-¹ - 3-²)-¹
= 1/3 (1/3 - 1/3²)-¹
= 1/3 (1/3 - 1/9)-¹
= 1/3 (3/9 - 1/9)-¹
= 1/3 (2/9)-¹
= 1/3 (9/2)
= 3/2
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