Question

Question
Match the exponent form to the correct standard form.(7 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
24
−82
2−3
(−4)2
23⋅32
(45)2
(23)3
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page 4 of 4

Answer 1

To convert the given exponent forms into their corresponding standard forms, we will evaluate each expression:

1. **24** = 16 (since 2 raised to the power of 4 is 16)
2. **−82** = -64 (since -8 raised to the power of 2 is 64, and it retains the negative sign)
3. **2−3** = 0.125 (since 2 raised to the power of -3 is 1/8)
4. **(−4)2** = 16 (since -4 raised to the power of 2 is 16)
5. **23⋅32** = 72 (since 2^3 = 8 and 3^2 = 9, and 8⋅9 = 72)
6. **(45)2** = 2025 (since 45 raised to the power of 2 is 2025)
7. **(23)3** = 512 (since 2^3 = 8, and 8 raised to the power of 3 is 512)

Now, these pairs can be matched:

1. \( 24 \) – 16
2. \( −82 \) – -64
3. \( 2−3 \) – 0.125
4. \( (−4)2 \) – 16
5. \( 23⋅32 \) – 72
6. \( (45)2 \) – 2025
7. \( (23)3 \) – 512

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