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

1. an algebraic equation of the fourth degree