Definition

Noun 1. The product of three equal terms: The result of multiplying a number by itself twice. This is also known as the cube of a number.

Usage

The term "third power" is used in mathematics to specify exponentiation where the exponent is 3. It describes a number raised to the power of three. * The third power of 2 is 8, because 2 × 2 × 2 = 8. * In the equation x³ = 27, finding x means finding the number whose third power is 27.

Examples

• Calculating the volume of a cube requires finding the third power of the length of its side.
• The number 125 is the third power of 5.
• The mathematician explained the concept of a third power to the students.

Advanced Usage

• "Raised to the third power": This is the most common verbal phrasing.
  • Ten raised to the third power is one thousand.
• "To the third power": A slightly shorter, equivalent phrase.
  • The variable 'y' to the third power is written as y³.

Variants and Related Words

• Cube (n.): A common synonym for the third power of a number.
  • The cube of 3 is 27.
• Cubed (adj.): The state of being raised to the third power.
  • We need to calculate the area of the squared side and the volume of the cubed side.
• Exponentiation (n.): The general mathematical operation of raising a base number to a power, which includes raising to the third power.

Synonyms

• Cube
• n³ (where is any number)

Related Phrases

• Third root: The inverse operation of finding the third power. The third root of 8 is 2.
• Perfect cube: A number that is the third power of an integer (e.g., 1, 8, 27, 64).

Noun

1. the product of three equal terms