Question

Select the odd one out.
$4x^{4}yz$, $6x{y}^{4}z$, $2y{x}^{4}z$, $zy{x}^4$

• A. $4x^{4}yz$
• B. $6x{y}^{4}z$
• C. $2y{x}^{4}z$
• D. $zy{x}^4$

Answer 1

The correct option is B $6x{y}^{4}z$

All 4 expressions have the same unknown variables $x$, $y$, and $z$.
But 3 expressions, $4x^{4}yz$, $2y{x}^{4}z$, and $zy{x}^4$, have the same exponents of the unknowns.

$\Rightarrow$ In the expressions $4x^{4}yz$, $2y{x}^{4}z$, and $zy{x}^4$, the exponent of $x$ are 4 and the exponents of $y$ and $z$ are 1.

​​​​​​​$\Rightarrow$ In the expression $6x{y}^{4}z$, $x$ has an exponent of 1, $y$ has an exponent of 4 and $z$ has an exponent of 1.
$\therefore$ $6x{y}^{4}z$ is an odd term here.