If x=ya, y=zb and z=xc, then find the value of abc. · ABC26GN1882
Subject: General Aptitude · Chapter: Surds and Indices
If $x=y^{a}, y=z^{b}$ and $z=x^{c}$, then find the value of abc.
Answer
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Explanation
$$z^{1}=x^{c}=\left(y^{a}\right)^{c}\ [\because x=y^{a}] = y^{(ac)}=\left(z^{b}\right)^{ac}\ [\because y=z^{b}] = z^{b(ac)}=z^{abc}$$ $$\therefore abc=1.$$
Explanation as extracted from the printed page; notation may be imperfect.
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