a^0的意思、翻譯和例句

是什麼意思

在數學中,任何非零數字的零次方(a^0)等於1。這是基於指數的性質,當一個數字的指數為零時,該數字的值被定義為1。這一規則適用於所有非零的實數。

依照不同程度的英文解釋

  1. Any number to the power of zero is one.
  2. A number raised to zero equals one.
  3. When you raise a number to zero, the answer is one.
  4. For any number except zero, if you raise it to the power of zero, it becomes one.
  5. The rule states that a non-zero number raised to zero equals one.
  6. This mathematical rule applies universally to all non-zero numbers.
  7. It reflects the fundamental properties of exponents in mathematics.
  8. This concept is essential in algebra and helps simplify expressions.
  9. It is a convention in mathematics that simplifies calculations involving exponents.
  10. It is a standard rule that defines the behavior of exponents at zero.

相關英文單字或片語的差別與用法

1:Exponentiation

用法:

指數運算是一種數學運算,其中一個數(底數)被提升到另一個數(指數)的幂。這是一個基本的數學概念,廣泛應用於代數和其他數學分支。

例句及翻譯:

例句 1:

在數學中,指數運算是非常重要的概念。

Exponentiation is a very important concept in mathematics.

例句 2:

他學會了如何進行指數運算,這使他在數學上進步了很多。

He learned how to perform exponentiation, which greatly improved his math skills.

例句 3:

指數運算可以用來解決許多複雜的數學問題。

Exponentiation can be used to solve many complex mathematical problems.

2:Power Rule

用法:

這是一個數學法則,用於計算指數運算時的導數。它也可以指在計算時如何處理指數的規則。這個法則通常用於微積分和代數中。

例句及翻譯:

例句 1:

在微積分中,功率法則是計算導數的基本工具。

In calculus, the power rule is a fundamental tool for calculating derivatives.

例句 2:

他在學習功率法則時感到困惑。

He felt confused while learning the power rule.

例句 3:

掌握功率法則對於進一步學習數學非常重要。

Mastering the power rule is very important for further studies in mathematics.

3:Mathematical Property

用法:

數學性質是指數學中某些數字或運算的固有特徵或規則。這些性質幫助數學家和學生理解和解釋數學運算。

例句及翻譯:

例句 1:

零次方的數學性質是所有非零數字的零次方等於一。

The mathematical property of zero exponent states that any non-zero number raised to zero equals one.

例句 2:

這些數學性質使我們能夠簡化計算。

These mathematical properties allow us to simplify calculations.

例句 3:

了解數學性質對於學習更高級的數學概念至關重要。

Understanding mathematical properties is crucial for learning more advanced math concepts.