Question

If ax =√b, by=³√c and cz =³√a, find the value of xyz.
please give the answer fast​

Answer 1

$\huge\mathbb\fcolorbox{Green}{violet}{♡ᎪղՏωᎬя᭄}$

ax=b  → (i)

by=c → (ii)

cz=a → (iii)

Using (i) and (ii), we can write

axy=c → (iv)

Using (iii) and (iv), we get

axyz=a1 [Since, a1=a]

or, xyz=1 [Since the bases are equal, the powers will be equal as well]

.

Hope it helps! :)

Answer 2

Step-by-step explanation:

ax=b → (i)

by=c → (ii)

cz=a → (iii)

Using (i) and (ii), we can write

axy=c → (iv)

Using (iii) and (iv), we get

axyz=a1 [Since, a1=a]

or, xyz=1 [Since the bases are equal, the powers will be equal as well]

.