An exponent tells you how many times to multiply the base by itself. 2³ = 2 × 2 × 2 = 8. The exponent is the small raised number (3), the base is the large number (2).

What does a negative exponent mean?

A negative exponent means take the reciprocal: b⁻ⁿ = 1 / bⁿ. For example, 2⁻³ = 1/8 = 0.125.

What is a fractional exponent?

A fractional exponent represents a root: b^(1/n) = the nth root of b. So 9^(1/2) = √9 = 3, and 8^(1/3) = ∛8 = 2.

What is the difference between 2^10 and 10^2?

2^10 = 1024 (2 multiplied by itself 10 times). 10^2 = 100 (10 squared). Exponentiation is not commutative — order matters.

Math

● Math

Exponent calculator

Enter a base and exponent — see the result plus its logarithms. Fractional and negative exponents supported.

Base

Exponent

2¹⁰

Result

1,024

log₂ of result

log₁₀ of result

3.0103

● Related

More calculators

Browse all →

Math
Percentage calculator
Percentages, increases, decreases — every flavour.
Math
Fraction calculator
Add, subtract, multiply, divide fractions.
Math
Scientific calculator
Trig, log, exp, factorial.
Math
Ratio calculator
Solve for any ratio missing piece.