Meaning & Definition of word "Exponentially"

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    Exponentially

    /ˌɛkspəˈnɛnʃəli/

    adverb:

    • 1. In a manner that involves rapid or exponential growth, typically referring to an increase by a constant factor.
      • Example: The population of the city grew exponentially over the last decade, doubling in size.
    • 2. Mathematically, in terms of a function that increases at a rate proportional to its current value.
      • Example: As technology advances, the capabilities of computers improve exponentially.
    • 3. Referring to a significant and rapid increase in amount or level.
      • Example: The use of social media has increased exponentially, impacting communication worldwide.
    • 4. Indicating a growth pattern that is characterized by the function y = a * b^x, where b > 1.
      • Example: The company's profits have been rising exponentially since they introduced their new product line.

    Etymology

    Derived from 'exponent' with the suffix '-ially' indicating the manner of increase.

    Common Phrases and Expressions

    grow exponentially:

    to increase at an accelerating rate, often used in contexts like populations or technologies.

    increase exponentially:

    to expand significantly in amount or strength in a short period of time.

    Related Words

    exponential:

    relating to or involving an exponent; growing at an increasing rate.

    exponent:

    a mathematical notation indicating the number of times a quantity is multiplied by itself.

    Slang Meanings of exponentially

    Meaning: Blowing up

    Example Sentence: The trend is blowing up on social media, it's growing exponentially!

    Meaning: On the rise

    Example Sentence: Sales are on the rise, our profits are increasing exponentially!