Power Calculator
Compute x raised to the power n for any base and exponent, including fractional and negative exponents, with step-by-step breakdowns.
How to Calculate Powers
- Enter the base value (x) in the first field.
- Enter the exponent (n) — positive, negative, or fractional.
- Click Calculate to see the result and step-by-step multiplication breakdown.
- For large exponents, review the scientific notation output for readability.
Schnellreferenz
| Von | Nach |
|---|---|
| 2 + 3 | 5 |
| 12 × 12 | 144 |
| √144 | 12 |
| 2¹⁰ | 1,024 |
| π | 3.14159 |
| e | 2.71828 |
Anwendungsfälle
- •Science — calculate 10³ = 1000 when converting units or expressing large quantities.
- •Finance — compute compound interest using powers: (1 + r)^n for growth over n periods.
- •Programming — verify bit shift equivalents like 2^8 = 256 when working with binary.
Formel
x^n means multiplying x by itself n times. Negative exponents: x^(−n) = 1/x^n. Fractional exponents: x^(a/b) = ᵇ√(x^a). Special cases: x⁰ = 1 (for x ≠ 0).
Häufig gestellte Fragen
What does a negative exponent mean?
A negative exponent means the reciprocal. x^(−n) = 1/(x^n). For example, 2^(−3) = 1/2³ = 1/8 = 0.125.
What is 0 raised to the power 0?
0⁰ is generally considered undefined in mathematics, although some contexts define it as 1 by convention (e.g., in combinatorics and power series).
How do fractional exponents work?
A fractional exponent a/b means take the bth root of x raised to the power a. For example, 8^(2/3) = ∛(8²) = ∛64 = 4.