fourth power
Học thuậtThân thiện
Definition
Noun: 1. An algebraic equation of the fourth degree: A mathematical term for a number or quantity raised to the exponent four. It is the result of multiplying a number by itself three times (e.g., 2 x 2 x 2 x 2 = 16). This is also known as a number to the fourth power. 2. The result of raising a base to the exponent four: The specific value obtained from the operation of exponentiation with an exponent of 4.
Usage Examples
- Noun:
- Calculating the fourth power of 3 (3⁴) gives you 81.
- The equation involves a term raised to the fourth power.
- In physics, the radiant flux is related to temperature to the fourth power.
Advanced Usage
- "To the fourth power": This is the standard phrase used to indicate the exponent. It follows the base number.
- The volume of a four-dimensional hypercube is the side length raised to the fourth power.
Variants and Related Words
- Biquadratic (adj/n): A synonym, often used in the context of "biquadratic equation," which is a polynomial equation of the fourth degree.
- Quartic (adj/n): Another synonym, frequently used in mathematics (e.g., a function or equation).
- Exponentiation (n): The general mathematical operation of raising a base to a power.
- Fourth degree (n): A descriptive phrase for a polynomial where the highest exponent is four.
Synonyms
- Biquadrate
- Quartic (when referring to the degree or a specific function)
Related Phrases
- Raised to the fourth: A less formal way to express the same operation.
- The variable 'x' is raised to the fourth in that term.
Noun
- an algebraic equation of the fourth degree