Question on: JAMB Mathematics - 1998

If b3 = a-2 and c\(\frac{1}{3}\) = a\(\frac{1}{2}\)b, express c in terms of a
A
a-\(\frac{1}{2}\)
B
a\(\frac{1}{3}\)
C
a\(\frac{3}{2}\)
D
a\(\frac{2}{3}\)
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Correct Option: A
c\(\frac{1}{3}\) = a\(\frac{1}{2}\)b

= a\(\frac{1}{2}\)b x a-2

= a-\(\frac{3}{2}\)

= (c\(\frac{1}{3}\))3

= (a-\(\frac{3}{2}\))\(\frac{1}{3}\)

c = a-\(\frac{1}{2}\)

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