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Bot GPT 4-o mini To simplify \( 1,000^{2/3} \), let's start by rewriting \( 1,000 \) in base 10:
\[ 1,000 = 10^3 \]
Now, substituting this into the expression:
\[ 1,000^{2/3} = (10^3)^{2/3} \]
Using the power of a power property \((a^m)^n = a^{m \cdot n}\):
\[ (10^3)^{2/3} = 10^{3 \cdot (2/3)} \]
Calculating the exponent:
\[ 3 \cdot \frac{2}{3} = 2 \]
Thus, we have:
\[ 10^{2} = 100 \]
So the correct value is \( 100 \).
Therefore, **Kali** is correct.