冪的的意思、翻譯和例句

是什麼意思

「冪的」這個詞在中文中主要用於數學領域,指的是一個數字的冪次方或指數運算。它通常表示某個數字被自身乘以若干次的結果。例如,2的3次方(即2的冪)是2×2×2=8。在數學中,冪的概念可以擴展到實數、複數及其他數學結構。

依照不同程度的英文解釋

  1. A number multiplied by itself many times.
  2. A way to show how many times to use a number in multiplication.
  3. The result of multiplying a number by itself repeatedly.
  4. A mathematical operation that involves repeated multiplication.
  5. An expression that indicates how many times a number is used as a factor.
  6. A mathematical concept that represents repeated multiplication of the same number.
  7. A function that describes the growth of a number based on its repeated multiplication.
  8. A notation that represents the power to which a number is raised.
  9. A concept in mathematics that signifies the operation of raising a base to an exponent.
  10. A mathematical expression that denotes the product of a number multiplied by itself a specified number of times.

相關英文單字或片語的差別與用法

1:Exponentiation

用法:

用於描述將一個數字(底數)提升到某個冪次的過程。這是一個基本的數學運算,常見於代數和高等數學中。它在科學和工程計算中也經常出現,特別是在處理指數增長或衰減的情況下。

例句及翻譯:

例句 1:

冪的運算在數學中是非常重要的,特別是在代數中。

Exponentiation is very important in mathematics, especially in algebra.

例句 2:

在科學計算中,經常需要進行冪的運算。

In scientific calculations, exponentiation is often required.

例句 3:

理解冪的運算可以幫助你解決複雜的數學問題。

Understanding exponentiation can help you solve complex mathematical problems.

2:Power

用法:

在數學中,這個詞通常用來表示一個數字被提升到的次方。它可以用來描述平方(2次方)、立方(3次方)等運算。這個術語在科學和工程中也很常用,特別是在描述物理量的增長或衰減時。

例句及翻譯:

例句 1:

3的平方是9,這是因為3被提升到2的冪。

The power of 3 squared is 9 because 3 is raised to the power of 2.

例句 2:

計算立方體的體積時,我們會用到冪的運算。

When calculating the volume of a cube, we use the power operation.

例句 3:

在數學中,了解冪的概念是非常重要的。

In mathematics, understanding the concept of power is very important.

3:Exponent

用法:

這個詞專門用來表示冪的次數,通常寫在數字的右上角,例如在2的3次方中,3就是指數。指數在代數和數學分析中扮演著重要的角色,特別是在處理多項式和指數函數時。

例句及翻譯:

例句 1:

在數學表達式中,指數顯示了冪的次數。

In a mathematical expression, the exponent indicates the power to which the base is raised.

例句 2:

了解指數的概念對於學習高等數學是非常重要的。

Understanding the concept of exponent is crucial for studying advanced mathematics.

例句 3:

在這個公式中,3是指數,而2是底數。

In this formula, 3 is the exponent and 2 is the base.