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Examveda

If ax = b, by = c and cz = a, then the value of xyz is = ?

A. 0

B. 1

C. $$\frac{1}{{{\text{abc}}}}$$

D. abc

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & {a^1} \cr & = {c^z} \cr & = {\left( {{b^y}} \right)^z} \cr & = {b^{yz}} \cr & = {\left( {{a^x}} \right)^{yz}} \cr & = {a^{xyz}} \cr & \Rightarrow xyz = 1 \cr} $$

This Question Belongs to Arithmetic Ability >> Surds And Indices

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