Power Calculator

Calculate powers, exponents, and roots for any number. Supports negative, fractional, and large exponents. Ideal for math, science, and engineering calculations.

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How to Use the Power Calculator

What are Powers and Exponents?

Powers and exponents are mathematical operations where a base number is multiplied by itself a specified number of times. For example, 2³ (2 to the power of 3) equals 2 × 2 × 2 = 8. Exponents are essential in algebra, physics, engineering, and scientific calculations.

Calculating Powers

  1. Enter the base number in the first field.
  2. Enter the exponent in the second field.
  3. Click the "Calculate Power" button.
  4. View and copy the result as needed.

Example:

Base: 2, Exponent: 3

Result: 2³ = 8

Calculating Roots

  1. Enter the number you want to find the root of in the base field.
  2. Enter the root degree in the exponent field (2 for square root, 3 for cube root, etc.).
  3. Click the "Calculate Root" button.
  4. See your result in the output field.

Example:

Number: 27, Root: 3

Result: ∛27 = 3

Special Cases

  • Negative Exponents: Result in fractions (e.g., 2⁻³ = 1/8 = 0.125)
  • Fractional Exponents: Equivalent to roots (e.g., 8^(1/3) = ∛8 = 2)
  • Zero Exponent: Any number to the power of 0 equals 1
  • One Exponent: Any number to the power of 1 equals itself

Frequently Asked Questions (FAQ)

What's the difference between powers and roots?

Powers multiply a base number by itself repeatedly (e.g., 2³ = 2 × 2 × 2 = 8). Roots are the inverse operation, finding what number raised to a given power produces the original number (e.g., ∛8 = 2 because 2³ = 8).

Can I use decimal numbers as base or exponent?

Yes, you can use decimal numbers for both base and exponent. For example, 2.5² = 6.25 or 8^(0.5) = √8 ≈ 2.828. The calculator supports floating-point arithmetic for accurate results.

What happens with negative numbers?

Negative bases work with integer exponents (e.g., (-2)³ = -8, (-2)⁴ = 16). Negative bases with fractional exponents may result in complex numbers, which are shown as "invalid" for simplicity.

How accurate are the calculations?

Calculations use JavaScript's Math functions, providing high precision for most needs. Large numbers are displayed in scientific notation. Results are typically accurate to 15-17 significant digits.

Why is there a limit on the number of calculations?

Calculation limits help maintain the quality and sustainability of the service. You can unlock unlimited access for 30 days by completing a simple offer. This ensures continued improvements and keeps the tool available for all users.