Question

求下式的值： $2^{\left(0^{\left(1^9\right)}\right)}+\left(\left(2^0\right)^1\right)^9?$

What is the value of $2^{\left(0^{\left(1^9\right)}\right)}+\left(\left(2^0\right)^1\right)^9?$

$0$

$1$

$2$

$3$

$4$

答案：C

知识点：指数运算顺序

难度评级：560

解答：

$\begin{aligned} &2^{\left(0^{\left(1^9\right)}\right)}\\ &\quad+\left(\left(2^0\right)^1\right)^9\\ &=2^{0^1}+(1^1)^9\\ &=2^0+1^9\\ &=2. \end{aligned}$

所以正确答案是 C。

We can evaluate from the top of each exponent tower downward: $\begin{aligned} &2^{\left(0^{\left(1^9\right)}\right)}\\ &\quad+\left(\left(2^0\right)^1\right)^9\\ &=2^{0^1}+(1^1)^9\\ &=2^0+1^9\\ &=2. \end{aligned}$

Thus, C is the correct answer.

2019 AMC 10A 第 1 题

答案：C

难度评级：560

解答：

其他年份的第 1 题