exponentiation的音標是[?eksp??n??e??n]，意思是“乘方；指數”。基本翻譯為“乘方運算”或“指數運算”。速記技巧可以考慮使用字母縮寫，例如：可以將“exp”代表“exponentiation”，將“i”代表“指數”。這樣可以更快速地記住這個單詞。

Exponentiation這個詞的詞源可以追溯到拉丁語中的“ex”和“ponere”，意為“放在前面”或“加”。這個詞在數學中指的是指數運算，即a的b次冪。

Exponentiation的變化形式是復數形式“exponentials”和副詞形式“exponentially”。

相關單詞有：multiplication, factorial, raise, exponent, power, exponential growth, rate of growth, hyperbola, ouption。

Multiplication來自于拉丁語的“multiplicare”，意為“使增加”或“使倍增”，在數學中表示乘法。

Factorial這個詞來自于拉丁語的“factor”，意為“因子”或“乘數”，在數學中表示n的階乘，即所有n個人的組合數。

Raise這個詞在英語中比較常用的是“increase”或“enhance”，但在數學中，它也可以表示乘方運算，即a的b次冪。

Exponent這個詞在數學中表示指數，來自于拉丁語的“exponens”，意為“被解釋者”。

Power這個詞在數學中表示冪，來自于拉丁語的“potens”，意為“強大的”。

Exponential growth這個詞表示指數增長，來自于exponential這個詞，表示隨著時間的推移，增長速度越來越快。

Rate of growth這個詞表示增長速率，來自于growth這個詞，表示增長的速度或比率。

Hyperbola這個詞在數學中表示雙曲線，來自于希臘語的“雙倍”，因為雙曲線具有向外擴大的特性。

Ouption這個詞并不是數學中的常用詞匯，它可能是一個拼寫錯誤或者是一個罕見的詞匯，沒有在數學中廣泛應用。

總之，exponentiation這個詞在數學中表示指數運算，它的詞源可以追溯到拉丁語中的“ex”和“ponere”，變化形式包括復數和副詞形式，相關單詞包括乘法、階乘、乘方、冪、指數增長、增長速率、雙曲線等。

常用短語：

1. raise to the power of x

2. exponential growth

3. exponential decay

4. base-exponential function

5. to raise to the power of x squared

6. to exponentiate a number

7. to exponentiate a series

雙語例句：

1. The value of a number raised to the power of x is equal to a constant times x multiplied by itself x-1 times. (數學)

2. Exponential growth is a phenomenon that occurs when a system expands rapidly and cannot keep up with demand. (科學)

3. The rate of exponential decay depends on the initial amount of the substance and the time period over which it is measured. (物理)

4. Base-exponential functions are used in many mathematical models and simulations. (數學)

5. To raise a number to the power of x squared, you multiply the number by itself twice the power of x. (數學)

6. Exponentiation is a fundamental operation in many scientific fields, including physics, chemistry, and engineering. (科學)

7. Exponential series are used in mathematical analysis and probability theory to approximate continuous functions. (數學)

英文小作文：

Exponentiation is a fundamental operation in mathematics and science that plays an important role in many fields. It allows us to raise a number to an exponent, which represents a power or rate of growth or decay. For example, raising a number to the power of two means multiplying it by itself twice, which is the basis for many mathematical formulas and scientific models. Exponentiation is also used in engineering, physics, chemistry, and other fields to describe phenomena and predict outcomes. It is a powerful tool that allows us to understand and analyze complex systems and processes in a more accurate and efficient manner.