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31 January, 12:35

If a = b^2/3 and b = c^3/4; what is the relation between a and c?

a=c^1/2

c=a^1/2

a=c^-1/2

c=a^-1/2

a=c

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Answers (1)
  1. 31 January, 13:18
    0
    Answer: a = c^ (1/2) which is the first answer choice of the list

    Work Shown:

    a = b^ (2/3) ... given equation

    a = (c^ (3/4)) ^ (2/3) ... replace b with c^ (3/4)

    a = c^ ((3/4) * (2/3)) ... multiply exponents

    a = c^ (1/2) ... Simplify; note the 3's cancel, also 2/4 turns into 1/2
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