Zero means one
a⁰ = 1 for a ≠ 0. For example, 7⁰ = 1. This calculator leaves 0⁰ undefined.
MATH CALCULATORS
Power Calculator●
Raise a number. Understand the power. Try it yourself.
A number or fraction, for example −8, 2.5 or 2/3.
Use an integer, decimal or fraction, for example −3, 0.5 or 1/3.
Real numbers · exponent −100 to 100 · reduced denominator up to 1000
Exact result
(2)5
Exact value
32
How it works
- 2 × 2 × 2 × 2 × 2 = 32
Small powers. Clear patterns.
Choose an example to open it in the calculator.
Make the rules yours.
Ten questions with exact answers. Enter an integer, a fraction or an exact terminating decimal. Repeating decimals should be written as fractions.
Your chosen settings apply to the next set.
Set complete.
Your numbers and practice answers stay in this tab. They are not uploaded or saved.
Three rules to keep handy.
Negative means reciprocal
a⁻ⁿ = 1/aⁿ for a ≠ 0. For example, 2⁻³ = 1/8.
Fractions connect powers and roots
a^(1/2) is the principal square root. a^(1/3) is the real cube root. Write 1/3 to mean exactly one third; 0.333 is a different exponent.
The exponent changes the job.
Positive integer powers are repeated multiplication. Negative exponents reverse the result into its reciprocal; rational exponents introduce roots. The whole base field includes its sign, so a base of −3 and exponent 2 means (−3)² = 9.
Read about rational exponents and roots ↗Common questions
Can I enter fractions for the base and exponent?
Yes. Use a decimal point or a single fraction, such as 2.5, 2/3 or −1/2. Decimal inputs are interpreted exactly. For a cube root, enter 1/3 rather than a rounded decimal approximation.
Why does a negative base sometimes have no real result?
After reducing the exponent to p/q, q must be odd for a negative base to have a real qth root. For example, (−8)^(1/3) = −2, while (−8)^(1/2) has no real value. Complex results are not shown.
Are the answers exact?
Integer powers and rational roots that simplify to fractions are calculated exactly within size limits. The display uses up to 14 significant digits, marking rounding with ≈. Irrational roots use numerical approximations. Exact fractions are shown when available.
What are the limits?
Each input accepts up to 128 characters. The exponent must lie between −100 and 100 with a reduced denominator no larger than 1000. Exact numerators and denominators are limited to 4096 bits. Very large or tiny numerical approximations may be outside the supported range.
Do practice questions repeat?
Each series contains ten distinct base-and-exponent pairs. The easy pool has 36 pairs, medium has 99 and advanced has 124. New series are shuffled, so questions can repeat between series. Scores reset on reload.