EXPONENTIAL EXPRESSION Meaning and
Definition
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An exponential expression is a mathematical expression in which a number, called the base, is raised to an exponent. It represents repeated multiplication of the base by itself a certain number of times. The exponent indicates the number of times the base is multiplied, and it is written as a superscript above the base.
In an exponential expression, the base is typically a real number, but it can also be a complex number or even a variable. The exponent can be a positive integer, a negative integer, a decimal, a fraction, or even an irrational number, such as π or √2.
When evaluating an exponential expression, the base is multiplied by itself as many times as indicated by the exponent. For instance, in the expression 2^3, the base is 2, and the exponent is 3. This means that 2 is multiplied by itself three times: 2 × 2 × 2, which results in the value 8.
Exponential expressions have numerous applications in mathematics and various fields such as physics, finance, and computer science. They are used to model exponential growth or decay, compound interest, population growth, radioactive decay, and the spread of diseases, among other phenomena.
Overall, an exponential expression is a concise way of representing repeated multiplication involving a base raised to an exponent, providing a powerful tool for studying and understanding many natural and artificial processes.
Common Misspellings for EXPONENTIAL EXPRESSION
- wxponential expression
- sxponential expression
- dxponential expression
- rxponential expression
- 4xponential expression
- 3xponential expression
- ezponential expression
- ecponential expression
- edponential expression
- esponential expression
- exoonential expression
- exlonential expression
- ex-onential expression
- ex0onential expression
- expinential expression
- expknential expression
- explnential expression
- exppnential expression
- exp0nential expression
Etymology of EXPONENTIAL EXPRESSION
The etymology of the word "exponential" dates back to the late 17th century and originates from the Latin word "exponentialis", which means "forming or giving power". The Latin term is derived from the word "exponentia", meaning "power" or "expression of power".
Furthermore, the usage of "exponential" as a mathematical term emerged in the early 18th century, drawing from its Latin roots. In mathematics, it refers to a quantity that undergoes an exponential growth or increase.
The word "expression" has a different etymology, originating from the Latin term "expressio", which means "a pressing out". This Latin word comes from the verb "exprimere", comprising "ex" (out) and "primere" (to press).
Therefore, when combined, "exponential expression" refers to a mathematical representation or statement that involves powers and exponential growth.
Similar spelling words for EXPONENTIAL EXPRESSION
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