1 answer
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To simplify \(1,000^{23}\), we first express \(1,000\) as a power of \(10\):
\[
1,000 = 10^3
\]
Now, we can rewrite \(1,000^{23}\) using this conversion:
\[
1,000^{23} = (10^3)^{23}
\]
When we exponentiate a power, we multiply the exponents:
\[
(10^3)^{23} = 10^{3 \cdot 23} = 10^{69}
\]
The result is \(10^{69}\).
Now, let's evaluate what each person said:
1. **Charles** says the simplification is \(10\). This is incorrect.
2. **Zayeer** says the simplification is \(1,000\). This is also incorrect.
3. **Kali** says the simplification is \(100\). This is also incorrect.
So, none of them have the correct simplification. The correct value is \(10^{69}\).