Fill in the following: (Note that some answers may be used more than once.) Click Here for Help Video

Question

y
0
=
y
0
=

−
(
y
)
0
=
−(y)
0
=

0
0
=
0
0
=

(
−
4
)
0
=
(−4)
0
=

(
y
⋅
−
4
)
0
=
(y⋅−4)
0=


DRAG & DROP THE ANSWER
undefined

1
1

−
1
−1

Answer 1

Here are the correct fill-ins for your equations using the provided answer options:

1. \( y^0 = 1 \)
2. \( -(y)^0 = -1 \)
3. \( 0^0 = 1 \) (Note: This is a common interpretation in many mathematical contexts)
4. \( (-4)^0 = 1 \)
5. \( (y \cdot -4)^0 = 1 \)

So, if we apply the choices provided:

• \( y^0 = 1 \)
• \( -(y)^0 = -1 \)
• \( 0^0 = 1 \)
• \( (-4)^0 = 1 \)
• \( (y \cdot -4)^0 = 1 \)

Here’s where the answers map to your provided options:

• 1 (for \(y^0\), \(0^0\), \((-4)^0\), \((y \cdot -4)^0\))
• −1 (for \(-(y)^0\))
• undefined (not applicable to the fill-ins since \(0^0\) is commonly considered as 1 in many contexts)

Please let me know if you have any other questions or need further assistance!