Question

27. Which expression is NOT equivalent to the other expressions?

Answer 1

Answer:

C.

Step-by-step explanation:

Choice A:

$(4x^2y)^2=(4x^2y)(4x^2y)=(4 \cdot 4)(x^2 \cdot x^2)(y \cdot y)=(16)(x^{2+2})(y^{1+1})=16x^{4}y^{2}$

Choice B:

$16x^4y^2$ appears exactly the same as choice A simplified.

Choice C:

$16x^2y^4$ is not the same as A or B since x doesn't have power 4 and y doesn't have power 2.

Choice D:

$4^2x^4y^2=(4 \cdot 4)x^4y^2=16x^4y^2$ is the same as A and B.

So the only odd ball is C.