<選填>若 \( x, y \) 為兩正實數，且滿足 \( x^{\frac{-1}{3}}y^2 = 1 \) 及 \( 2 \log y = 1 \)，則 \( \frac{x – y^2}{10} = \boxed{\phantom{00}} \boxed{\phantom{00}} \)。
答案
1. 由 \( 2 \log y = 1 \) 得
\[
\log y = \frac{1}{2} \quad \Rightarrow \quad y = 10^{1/2} = \sqrt{10}.
\]
因此
2. 由 \( x^{-1/3} y^2 = 1 \) 得
\[
x^{-1/3} \cdot 10 = 1 \quad \Rightarrow \quad x^{-1/3} = \frac{1}{10}.
\]
取倒數再立方：
\[
x^{1/3} = 10 \quad \Rightarrow \quad x = 10^3 = 1000.
\]
3. 計算
\[
\frac{x - y^2}{10} = \frac{1000 - 10}{10} = \frac{990}{10} = 99.
\]
**答案：** \( \boxed{99} \) 報錯
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