FRACTIONAL POWER Meaning and
Definition
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A fractional power, in mathematics, refers to an expression involving a number raised to a fraction. It is a way to represent the operation of taking roots or finding the reciprocal of a number. A fractional power can be thought of as a generalization of the concept of an integer exponent.
When a number is raised to a fractional power, it means that the number is being multiplied by itself a certain number of times, where the number of times is determined by the numerator of the fraction, and the root being taken is determined by the denominator. For example, a number raised to the power of 1/2 represents the square root of that number.
The numerator of the fraction represents the number of times the base number is multiplied by itself, while the denominator represents the root being taken. If the denominator is larger than the numerator, the result will be a root; if the denominator is smaller than the numerator, the result will be a reciprocal or a negative root.
Fractional powers can also be expressed using radicals, such as square roots (√), cube roots (³√), or fourth roots (⁴√). These symbols indicate the fractional power that is being applied to a number.
In summary, a fractional power represents the operation of taking a root or finding the reciprocal of a number, and it is expressed as a fraction where the numerator denotes the number of times the base number is multiplied, and the denominator indicates the root being taken.
Common Misspellings for FRACTIONAL POWER
- dractional power
- cractional power
- vractional power
- gractional power
- tractional power
- rractional power
- feactional power
- fdactional power
- ffactional power
- ftactional power
- f5actional power
- f4actional power
- frzctional power
- frsctional power
- frwctional power
- frqctional power
- fraxtional power
- fravtional power
- fraftional power
- fradtional power
Etymology of FRACTIONAL POWER
The etymology of the word "fractional power" can be understood by breaking it down into its constituent parts.
The word "fractional" is derived from the Latin word "fractus", which means "broken or divided". In mathematics, a fraction represents a numerical quantity that is broken or divided into parts, such as a ratio of two integers.
The word "power" comes from the Latin word "potentia", which means "power or ability". In mathematics, a power refers to an expression that indicates the repeated multiplication of a number by itself. For example, "x to the power of n" denotes multiplying x by itself n times.
When combined, "fractional power" refers to the concept of raising a number to a fractional exponent or power, indicating a fractional or non-integer amount of multiplication. It is an extension of the idea of powers beyond whole numbers, allowing for roots and other fractional operations.
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