Which of the following expressions are equivalent?
I. 4 + y
II. y4
III. y × y × y × y
IV. y + y + y + y
A.
I, III and IV
B.
II, III and IV
C.
II and IV
D.
II and III
The correct answer is D. II and III.
Explanation:
I. 4 + y is not equivalent to the other expressions because it includes the number 4, while the others do not.
II. y4 is equivalent to y × y × y × y. This represents raising y to the power of 4.
III. y × y × y × y is equivalent to y4, as explained above.
IV. y + y + y + y is not equivalent to the other expressions because it represents adding y four times, while the others represent multiplying y four times.