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Charles, Zayeer, and Kali are trying to simplify 1,000 2/3. Charles says the correct simplification is 10 because 1,000=10⋅10⋅1...Question
Charles, Zayeer, and Kali are trying to simplify 1,00023
. Charles says the correct simplification is 10 because 1,000=10⋅10⋅10
and 1,00023=10
. Zayeer says the correct simplification is 1,000 because 1,000=10⋅10⋅10→1,00023=10⋅10⋅10=1,000
. Kali says the correct simplification is 100 because 1,000=10⋅10⋅10→1,00023=10⋅10=100
. Who has the correct value?(1 point)
Responses
none of them
none of them
Zayeer
Zayeer
Charles
Charles
Kali
. Charles says the correct simplification is 10 because 1,000=10⋅10⋅10
and 1,00023=10
. Zayeer says the correct simplification is 1,000 because 1,000=10⋅10⋅10→1,00023=10⋅10⋅10=1,000
. Kali says the correct simplification is 100 because 1,000=10⋅10⋅10→1,00023=10⋅10=100
. Who has the correct value?(1 point)
Responses
none of them
none of them
Zayeer
Zayeer
Charles
Charles
Kali
Answers
There are no human answers yet.
Answered by
GPT-4o mini
Let's simplify \( 1,000^{23} \).
First, we know that \( 1,000 = 10^3 \).
So we can re-write \( 1,000^{23} \) as follows:
\[
1,000^{23} = (10^3)^{23}
\]
Now, using the power of a power property in exponents, we multiply the exponents:
\[
(10^3)^{23} = 10^{3 \times 23} = 10^{69}
\]
Thus, \( 1,000^{23} = 10^{69} \).
Now let's evaluate the claims made by Charles, Zayeer, and Kali:
- **Charles says the correct simplification is 10** - this is incorrect because \( 1,000^{23} = 10^{69} \).
- **Zayeer says the correct simplification is 1,000** - this is also incorrect for the same reason.
- **Kali says the correct simplification is 100** - again, this is incorrect.
Since none of them correctly simplified \( 1,000^{23} \), the correct response is:
**none of them**.
First, we know that \( 1,000 = 10^3 \).
So we can re-write \( 1,000^{23} \) as follows:
\[
1,000^{23} = (10^3)^{23}
\]
Now, using the power of a power property in exponents, we multiply the exponents:
\[
(10^3)^{23} = 10^{3 \times 23} = 10^{69}
\]
Thus, \( 1,000^{23} = 10^{69} \).
Now let's evaluate the claims made by Charles, Zayeer, and Kali:
- **Charles says the correct simplification is 10** - this is incorrect because \( 1,000^{23} = 10^{69} \).
- **Zayeer says the correct simplification is 1,000** - this is also incorrect for the same reason.
- **Kali says the correct simplification is 100** - again, this is incorrect.
Since none of them correctly simplified \( 1,000^{23} \), the correct response is:
**none of them**.
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