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Power Function Calculator.

Evaluate y = a·xᵇ.

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01

Set your values

Results update as you type.

Value: 162

Value

162.000000

Results update automatically as you type.

Use Cases

Physics and Engineering Calculations

Use this calculator to quickly compute values in formulas that follow a power law, such as gravitational force, intensity, or scaling relationships.

Example: Compute y = 9.8 * t^2 for t = 3 to find distance fallen.

Economics and Finance Modeling

Model relationships like demand curves or cost functions that are expressed as power functions, helping you analyze scenarios without manual computation.

Example: Evaluate y = 100 * x^0.5 for x = 25 to find a cost estimate.

Frequently Asked Questions

What does this power function calculator do?
This calculator evaluates the power function y = a * x^b. You input the coefficient a, the base x, and the exponent b, and it computes the value of y.
Can I use negative or fractional values for x or b?
Yes, you can enter negative or fractional values for a, x, and b. However, note that if x is negative and b is not an integer, the result may be undefined in real numbers. The calculator will handle cases where the result is real.
What is the difference between a power function and an exponential function?
In a power function, the variable is the base (x^b), while in an exponential function, the variable is the exponent (b^x). This calculator evaluates power functions of the form y = a * x^b.

Tips & Common Mistakes

Tips

  • Ensure you enter numeric values for a, x, and b. If you need to use a fraction, enter it as a decimal (e.g., 0.5 for 1/2).
  • Remember that any non-zero number raised to the power of 0 equals 1, so if b = 0, y = a.
  • If x is negative and b is a fraction, the result may be complex; this calculator provides real results only.
  • Double-check your inputs for signs, especially when using negative exponents, as they affect the result significantly.

Common Mistakes to Avoid

  • Entering the exponent as a percentage (e.g., 20% instead of 0.2) – always use the decimal form.
  • Confusing the order of operations: the calculator computes x^b first, then multiplies by a, so ensure your inputs reflect that.
  • Using a comma as a decimal separator – use a period (.) for decimals.

Last updated: August 13, 2026