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Simplify: [(16/9)^-3/2 x 16^-3/4]^1/3
math ssce-exam-2020 waec-mathematics-2020 waec-2020
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simplify: [(16/9)-3/2 x 16-3/4]1/3

A. 3/4

B. 9/16

C. 3/8

D. 1/4

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peter
Asked by peterrep:1.4K
University of Lagos Nigeria
18 August 2020

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judziy
Judziy answeredrep:1.4K
University of Benin Nigeria
18 August 2020
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[(16/9)-3/2 x 16-3/4]1/3

(16/9)-3/2 = [1 / (16/9)]3/2 = (9/16)3/2 = √(9/16)3 = (3/4)3 = 27/64

16-3/4 = (1/16)3/44√(1/16)3 = (1/2)3 = 1/8

[(16/9)-3/2 x 16-3/4]1/3 = (27/64 x 1/8)1/3

= (27/512)1/3

3√(27/512)

= 3/8

Ans C

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