x^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(x^0)都等於1。這是一個基本的指數法則,適用於所有實數,除了零的零次方。這個概念在代數和數學分析中非常重要,因為它幫助簡化計算並理解指數的性質。

依照不同程度的英文解釋

  1. Any number to the power of zero is one.
  2. If you take a number and raise it to zero, you get one.
  3. It's a rule that says a number raised to zero equals one.
  4. A mathematical rule stating that any non-zero number raised to the power of zero equals one.
  5. In mathematics, raising a number to the zero power always gives you one.
  6. A fundamental property of exponents where any non-zero base raised to the zero exponent equals one.
  7. A principle in algebra indicating that for any non-zero number, its exponent being zero results in a value of one.
  8. A mathematical expression that illustrates that any non-zero base raised to the power of zero yields one.
  9. An established axiom in mathematics that dictates that for any non-zero number, the result of raising it to zero is unity.
  10. A universally accepted mathematical convention stating that any non-zero number raised to the exponent of zero equals one.

相關英文單字或片語的差別與用法

1:Exponentiation

用法:

指將一個數字提升到某個數的過程。在這個過程中,零次方的情況是一個特別的規則,這使得任何非零數的零次方等於1。這一概念是數學中非常重要的部分,特別是在處理多項式、指數函數和其他數學運算時。

例句及翻譯:

例句 1:

在數學中,指數運算是基礎的運算之一。

In mathematics, exponentiation is one of the fundamental operations.

例句 2:

指數運算的規則包括任何數字的零次方等於一。

The rules of exponentiation include that any number to the zero power equals one.

例句 3:

學習指數運算對於理解高級數學概念至關重要。

Understanding exponentiation is crucial for grasping advanced mathematical concepts.

2:Power

用法:

在數學中,指數的概念通常被稱為「次方」。一個數字的零次方意味著這個數字被提升到零的力量,根據規則,這個結果總是1。這個術語在代數和其他數學領域中經常使用,幫助學生理解數字的運算和關係。

例句及翻譯:

例句 1:

任何數字的零次方都被稱為其次方。

The zero power of any number is referred to as its power.

例句 2:

在這個問題中,我們需要計算數字的次方。

In this problem, we need to calculate the power of the number.

例句 3:

理解次方的概念對於學習代數非常重要。

Understanding the concept of power is very important for learning algebra.

3:Base

用法:

在指數運算中,基數是被提升的數字。在零次方的情況下,任何非零基數的結果都是1。這個概念在數學和科學中都非常重要,因為它幫助我們理解數字之間的關係和運算。

例句及翻譯:

例句 1:

在這個方程中,基數是我們要提升的數字。

In this equation, the base is the number we are raising.

例句 2:

基數的選擇對於計算結果有很大影響。

The choice of base has a significant impact on the calculation results.

例句 3:

學習基數和指數的關係對於數學學習至關重要。

Learning the relationship between base and exponent is crucial for mathematical learning.