negative exponent的意思、翻譯和例句

是什麼意思

「負指數」是數學中的一個概念,指的是指數為負數的情況。在數學上,若一個數字的指數為負,則該數字的值等於其正指數的倒數。例如,a^(-n) = 1/(a^n)。 這意味著,如果你有一個數字的負指數,它表示這個數字的反轉。負指數通常用於簡化計算,特別是在代數和科學計算中。

依照不同程度的英文解釋

  1. A way to show division using a number.
  2. A number that shows how many times to divide.
  3. A number that means to take the reciprocal.
  4. A notation that indicates a fraction.
  5. A mathematical expression that represents the inverse.
  6. An exponent that indicates the reciprocal of a base raised to a positive power.
  7. A notation used in mathematics to express division in terms of powers.
  8. A representation of a number that involves negative powers to indicate division.
  9. A mathematical concept where a negative exponent signifies the reciprocal of the base raised to a positive exponent.
  10. A mathematical expression indicating that a base is divided rather than multiplied.

相關英文單字或片語的差別與用法

1:Negative exponent

用法:

直接指示一個數的負指數,通常用於代數運算中。負指數的運用使得數學表達更為簡潔,並且能夠有效地處理分數和倒數的計算。

例句及翻譯:

例句 1:

在計算中,2的負三次方等於1除以2的三次方。

In calculations, 2 raised to the negative third power equals 1 divided by 2 raised to the third power.

例句 2:

負指數的概念在科學計算中非常重要。

The concept of negative exponents is very important in scientific calculations.

例句 3:

我們學習了如何將負指數轉換為正指數的形式。

We learned how to convert negative exponents into positive exponent form.

2:Reciprocal exponent

用法:

強調負指數的反轉特性,通常用於說明如何將負指數轉換為正指數的倒數。這在數學中是非常重要的,特別是在解決方程式或簡化表達式時。

例句及翻譯:

例句 1:

3的負二次方可以寫成1除以3的二次方,這是它的倒數指數。

3 raised to the negative second power can be written as 1 divided by 3 raised to the second power, which is its reciprocal exponent.

例句 2:

理解倒數指數的概念對於學習高等數學至關重要。

Understanding the concept of reciprocal exponents is crucial for studying higher mathematics.

例句 3:

在代數中,倒數指數幫助我們簡化複雜的表達式。

In algebra, reciprocal exponents help us simplify complex expressions.

3:Inverse exponent

用法:

強調負指數的反向運算特性,通常用來說明如何將負指數的運算轉換為正指數的運算。這在數學分析和計算中是非常有用的。

例句及翻譯:

例句 1:

負指數的運算可以視為正指數的逆運算。

The operation of negative exponents can be seen as the inverse operation of positive exponents.

例句 2:

在處理指數方程時,了解逆指數的概念是必要的。

Understanding the concept of inverse exponents is necessary when dealing with exponential equations.

例句 3:

使用逆指數可以幫助我們更好地理解指數的性質。

Using inverse exponents can help us better understand the properties of exponents.