負n次方的意思、翻譯和例句

是什麼意思

「負n次方」是數學術語,表示一個數字的負次方運算。這個概念通常用於指數運算,其中一個數字(底數)被提升到一個負的整數次方。負次方的定義是:a^(-n) = 1/(a^n),其中a是底數,n是正整數。這意味著將底數的正次方取倒數。負次方的運算在科學、工程和數學中經常出現,特別是在處理分數和小數時。

依照不同程度的英文解釋

  1. A way to show a number divided by itself many times.
  2. A method to express small numbers.
  3. When you take the opposite of a number's power.
  4. A way to represent numbers that are less than one.
  5. A mathematical operation that gives the reciprocal of a number raised to a positive power.
  6. An exponent that indicates division rather than multiplication.
  7. A mathematical expression that denotes the inverse of a base raised to a positive exponent.
  8. An operation that represents the reciprocal of a number raised to a positive integer.
  9. A notation in mathematics that signifies the inverse of a power of a number.
  10. A representation of numbers that indicates how many times to divide by that number.

相關英文單字或片語的差別與用法

1:Negative exponent

用法:

指數的負值,表示一個數字的倒數。這在科學和數學中經常用來簡化計算,尤其是在處理小數和分數時。負指數是數學中的一個重要概念,特別是在代數和微積分中。

例句及翻譯:

例句 1:

2的負3次方等於1/8。

2 raised to the negative 3rd power equals 1/8.

例句 2:

任何數字的負指數都表示它的倒數。

The negative exponent of any number represents its reciprocal.

例句 3:

在計算中,負指數可以幫助我們簡化複雜的表達式。

In calculations, negative exponents can help simplify complex expressions.

2:Reciprocal power

用法:

這是一個數學術語,表示一個數的倒數,通常與負指數有關。這個概念在計算中非常重要,特別是在處理分數和小數時,能夠讓運算更加簡便。

例句及翻譯:

例句 1:

3的負2次方是1/9,這是它的倒數。

The reciprocal power of 3 to the negative 2 is 1/9.

例句 2:

在數學中,負次方可以視為倒數的計算。

In mathematics, negative powers can be viewed as calculations of reciprocals.

例句 3:

學習倒數的概念對於理解負次方非常重要。

Understanding the concept of reciprocals is crucial for grasping negative powers.

3:Inverse power

用法:

這個術語用來描述一個數字的負次方,表示將底數取倒數。這在數學和物理中經常用到,特別是在計算比例和比率時。

例句及翻譯:

例句 1:

4的負1次方表示1/4,這是它的反向計算。

The inverse power of 4 is represented as 1/4.

例句 2:

在科學計算中,反向次方可以幫助我們理解比例關係。

In scientific calculations, inverse powers can help us understand proportional relationships.

例句 3:

反向次方的概念在代數中是非常重要的。

The concept of inverse powers is very important in algebra.