A perfect cube is a number that can be expressed as the cube (third power) of an integer. In mathematical terms, it is a number that is the result of multiplying an integer by itself three times.
For example:
- 2 cubed (2^3) is a perfect cube because it equals 8 (2 x 2 x 2).
- 3 cubed (3^3) is a perfect cube because it equals 27 (3 x 3 x 3).
- 4 cubed (4^3) is a perfect cube because it equals 64 (4 x 4 x 4).
Perfect cubes have several important properties in mathematics and are used in various mathematical and scientific contexts. They are a subset of perfect powers, which are numbers that can be expressed as an integer raised to any positive integer exponent.
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ex 2 cube 8
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A perfect cube is a number that can be expressed as the cube (third power) of an integer. In mathematical terms, it is a number that is the result of multiplying an integer by itself three times.
For example:
- 2 cubed (2^3) is a perfect cube because it equals 8 (2 x 2 x 2).
- 3 cubed (3^3) is a perfect cube because it equals 27 (3 x 3 x 3).
- 4 cubed (4^3) is a perfect cube because it equals 64 (4 x 4 x 4).
Perfect cubes have several important properties in mathematics and are used in various mathematical and scientific contexts. They are a subset of perfect powers, which are numbers that can be expressed as an integer raised to any positive integer exponent.