Question

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

A (4x^2y)^2
B 16x^4y^2
C 16x^2y^4
D 4^2x^4y^2

Answer 1

C.

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.