Let's address your questions one by one:
Question 1: Charles, Zayeer, and Kali are trying to simplify \( 100023 \).
- Charles says \( 100023 = 10 \). This is incorrect.
- Zayeer says \( 100023 = 1000 \). This is also incorrect.
- Kali says \( 100023 = 100 \). This is incorrect as well.
The number \( 100023 \) is already in its simplest form; none of the simplifications provided by Charles, Zayeer, or Kali are correct.
Response: none of them
Question 2: To simplify \( 24335 \): This number is already in its simplest form in relation to basic operations, as it's just a number. If you're looking to factor or express this in another form (like prime factorization), you would need additional context.
If you simply need \( 24335 \) as it is, the answer is: Response: \( 24335 \)
Question 3: To write \( 2514 \) in radical form: The term can be expressed as \( \sqrt[14]{25} \) because it signifies the 14th root of 25.
Response: \( 2514 = \sqrt[14]{25} \)
Question 4: What is the simplest form of \( 2512 \)? The expression \( 2512 \) can be simplified to \( \sqrt{25^{12}} = 25^{6} \) since the square root of \( 25 \) gives \( 5 \), and you have \( 12/2 = 6 \) when dealing with exponents.
You can also express this as \( 5^{12} \) since \( 25 = 5^{2} \).
Response: \( 5^{6} \)
Question 5: Rewrite \( 2712 \cdot 2714 \): According to the laws of exponents, you would add the exponents when multiplying like bases.
\[ 2712 \cdot 2714 = 27^{12 + 14} = 27^{26} \]
Response: The combined expression is \( 27^{26} \)
If you have further inquiries or need clarification, feel free to ask!