caitlynmc10 caitlynmc10
  • 21-12-2018
  • Mathematics
contestada

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

Respuesta :

jimthompson5910 jimthompson5910
  • 21-12-2018

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

Answer Link

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