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Exponent Calculator
Power Forge
Rapid Exponential Projection Engine
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About the Exponent Calculator
Raise any base to any power, including negative and fractional exponents, and see the exact result.
How to use the Exponent Calculator
- Enter the Base (x) and the Power (n).
- Press Calculate to see xβΏ.
Formula and method
xβΏ = x Γ x Γ ... Γ x (n times). Also xβ»βΏ = 1 Γ· xβΏ and x^(1/n) is the nth root of x.
Worked example
2ΒΉβ° = 1,024. 5β»Β² = 1 Γ· 25 = 0.04. 27^(1/3) = 3.
Powers of two. 210 = 1,024, which is why one kibibyte holds 1,024 bytes.
When to use the Exponent Calculator
- Working out powers such as 2ΒΉβ° or 5β»Β².
- Modelling compound growth, decay and computing storage sizes.
- Checking maths and physics homework.
Common mistakes to avoid
- Confusing β2Β² (which is β4) with (β2)Β² (which is 4).
- Adding the exponents when the bases differ.
Tips
- Any non-zero number to the power 0 equals 1.
- Multiplying like bases adds the exponents: xα΅ Γ xα΅ = xα΅βΊα΅.
Frequently Asked Questions
It means the reciprocal. xβ»Β² is the same as 1 Γ· xΒ².
It is the reciprocal: xβ»βΏ = 1 Γ· xβΏ. For example 2β»Β³ = 1/8.
One (except that zero to the power zero is treated specially).