Exponent Calculator Calculate x raised to the power of n (xⁿ) with scientific notation output.
Exponent Calculator
Calculate x raised to the power of n (xⁿ) with scientific notation output.
Enter Base
Type the base number (x) that you want to raise to a power.
Enter Exponent
Type the exponent (n) — the power to raise the base to.
View Result
See the result in both standard and scientific notation.
What Is Exponent Calculator?
The exponent calculator computes x raised to the power n (written as xⁿ), which means multiplying x by itself n times when n is a positive integer. Exponents extend beyond integers: fractional exponents represent roots (x^(1/2) = √x), negative exponents represent reciprocals (x^(−1) = 1/x), and zero as an exponent yields 1 for any nonzero base (x^0 = 1, x ≠ 0). Exponential functions are fundamental across many fields for modeling growth and decay, compound interest, signal processing, and computational complexity analysis. This calculator handles the full range of inputs including negative bases, decimal exponents, and very large or very small results, displaying both the standard number and its scientific notation representation for clarity.
Why Use Exponent Calculator?
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Handles integer, decimal, and negative exponents
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Shows result in both standard and scientific notation
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Computes results up to JavaScript's maximum precision
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No sign-up or installation required
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Instant computation with clear output formatting
Common Use Cases
Science Homework
Calculate powers for physics, chemistry, and biology formulas involving exponential relationships.
Financial Modeling
Compute compound growth factors using exponents.
Computer Science
Evaluate 2^n for binary system calculations and algorithm complexity.
Statistics
Raise values to powers for variance, standard deviation, and distribution calculations.
Technical Guide
Exponentiation is defined as repeated multiplication for positive integer exponents: x^n = x × x × ... × x (n times). The definition extends via these rules: x^0 = 1 (for x ≠ 0), x^(−n) = 1/(x^n), x^(a/b) = ᵇ√(x^a), and x^(a+b) = x^a × x^b. The calculator uses JavaScript's Math.pow() function, which implements the IEEE 754 standard for floating-point arithmetic. This handles special cases: 0^0 returns 1 (by convention in most computing contexts), negative bases with non-integer exponents may return NaN (since the result is complex), and very large results return Infinity when they exceed approximately 1.8 × 10^308. Scientific notation (e.g., 1.23e+15) is displayed using toExponential() for results that are very large or very small, providing a more readable format than a string of digits.
Tips & Best Practices
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1Any non-zero number raised to the power 0 equals 1
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2Negative exponents give reciprocals: 2^(−3) = 1/8
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3Fractional exponents represent roots: 8^(1/3) = 2 (cube root of 8)
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4For very large results, use the scientific notation display
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5A negative base with a non-integer exponent is not a real number
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🔢 Math & CalculatorsFrequently Asked Questions
Q What is 0 raised to the power 0?
Q Can I use decimal exponents?
Q What happens with very large results?
Q Can the base be negative?
Q What is scientific notation?
About This Tool
Exponent Calculator is a free online tool by FreeToolkit.ai. All processing happens directly in your browser — your data never leaves your device. No registration or installation required.