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

Question

Mathematics

Zaniyah Allen

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

+4

Answers (1)

Know the Answer?

Ivy Cooke · Answer 1

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

If a = b^2/3 and b = c^3/4; what is the relation between a and c?a=c^1/2c=a^1/2a=c^-1/2c=a^-1/2a=c

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