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Exponentiation

Function: Exponentiation​

This action calculates the result of raising a number (the "Base") to a specific power (the "Exponent"). It's a fundamental mathematical operation useful for scenarios involving growth, decay, or any calculation where a number needs to be multiplied by itself a certain number of times.

Input,

  • Base: The starting number that will be multiplied by itself. This is a required number.
  • Exponent: The number of times the Base is multiplied by itself. This is a required number.

Output,

  • Result: A variable where the calculated value (Base raised to the power of Exponent) will be stored. This will be a number.

Execution Flow,

Real-Life Examples,

  1. Calculating Compound Interest Growth Factor

    • Scenario: You want to find out the growth factor for an investment that earns 5% interest annually over 10 years.
    • Inputs:
      • Base: 1.05 (representing 1 + 5% interest rate)
      • Exponent: 10 (representing 10 years)
    • Result: The action calculates 1.05 raised to the power of 10, storing the growth factor (e.g., 1.62889) in the Result variable, which can then be multiplied by your initial investment.

  2. Estimating Population Growth

    • Scenario: A city's population is growing at an average rate of 2% per year, and you want to estimate the population multiplier after 5 years.
    • Inputs:
      • Base: 1.02 (representing 1 + 2% growth rate)
      • Exponent: 5 (representing 5 years)
    • Result: The action calculates 1.02 raised to the power of 5, storing the population multiplier (e.g., 1.10408) in the Result variable, which can be applied to the current population.

  3. Determining Exponential Decay in a Process

    • Scenario: A certain substance decays by 10% every hour. You need to know what fraction of the original substance remains after 3 hours.
    • Inputs:
      • Base: 0.90 (representing 1 - 10% decay)
      • Exponent: 3 (representing 3 hours)
    • Result: The action calculates 0.90 raised to the power of 3, storing the remaining fraction (e.g., 0.729) in the Result variable, indicating that 72.9% of the substance remains.