Example 1
- Base: 2
- Exponent: 10
1024
Two multiplied by itself ten times.
Power / exponent calculator
Type a base and an exponent. 2 to the 10th is 1024. 5 to the 0th is 1. 2 to the −3rd is 0.125, which is 1/8. (−3) to the 3rd is −27.
A negative base works when the exponent is an integer. A fractional exponent with a negative base needs complex numbers - not covered here.
Result
Enter the base and exponent.
How does it work?
A power aⁿ means the base a multiplied by itself n times. 2¹⁰ = 1024. For n = 0 with a ≠ 0 the result is 1, so 5⁰ = 1. A negative exponent is a reciprocal: 2⁻³ = 1 ÷ 2³ = 1/8 = 0.125.
A negative base with an odd exponent stays negative: (−3)³ = −27. With an even exponent you get a plus, minus times minus. A fractional exponent on a negative base needs complex numbers, and this page does not compute that.
The fields are Base and Exponent. Type 2 and 10, click Calculate. A comma and a period both parse. 0⁰ the calculator rejects. A note under the result explains a negative exponent when you type one.
A logarithm runs the other way: from 1024 and base 2 you get 10. A square root is the 1/2 power, but √81 lives on its own page. eˣ has a fixed base e, not this pair of fields.
Without a base or an exponent, nothing computes. 2 and 10 still give 1024 no matter the header.
10² = 100, 3⁴ = 81, (−2)⁴ = 16, 4⁻¹ = 0.25. Check 2 and 10 on the page, then 2 and −3.
Formula
aⁿ - base a raised to exponent n
How to use
- Type the base, for example 2. It may be positive, negative, or zero with limits.
- Type the exponent, for example 10. Zero, a minus, and a fraction work with a positive base.
- Click Calculate. 2¹⁰ = 1024. 5⁰ = 1. 2⁻³ = 0.125.
- A negative base with a fractional exponent does not run. 0⁰ the calculator rejects.
- The inverse question “to which power” lives on logarithm. eˣ is its own card.
2 to the 10th is 1024
A base and an exponent. 2 to the 10th is 1024. 5 to the 0th is 1. 2 to the −3rd is 0.125. (−3) to the 3rd is −27.
- x
- The exponent field. 10 with base 2 is 1024. A zero exponent on 5 is 1. −3 on 2 is 0.125.
- 2
- The first-example base. 2 to the 10th is 1024. 2 to the −3rd is 1/8. A different base 5 to the 0th is 1.
Examples
Example 2
- Base: 5
- Exponent: 0
1
Any non-zero number to the power 0 is 1.
Example 3
- Base: 2
- Exponent: −3
0.125
2⁻³ = 1 ÷ 2³ = 1/8.
Example 4
- Base: −3
- Exponent: 3
−27
(−3) × (−3) × (−3) = −27.
Related calculators
Frequently asked questions
What is 2 to the 10th?
The result is 1024. You multiply two by itself ten times, the first example on the page.
What is 5 to the 0th?
You get 1. Any number other than zero raised to the power zero is one, that is the usual agreement for exponents.
What is 2 to the −3rd?
The result is 0.125. A negative exponent flips the power, so 2⁻³ = 1÷8 = 1/8.
What is (−3) to the 3rd?
You get −27. Three minuses: (−3) × (−3) × (−3), and an odd exponent keeps the minus sign.
Does a negative base with a fraction work?
Not in this calculator. That is already complex numbers. With an integer exponent the minus passes normally, as in (−3)³.
What are 10², 3⁴ and (−2)⁴?
You get 100, 81 and 16. An even exponent lifts the minus from (−2), because minus times minus is plus.
How is this different from a logarithm?
Here base 2 and exponent 10 give 1024. The logarithm of 1024 in base 2 returns 10, the inverse road on another calculator.
Does 0⁰ run?
No. The calculator refuses that school argument. Zero to a positive exponent is 0, and 0⁰ is not computed.
Where is eˣ?
On the exponential-function page. There the base is fixed at e, about 2.718, and you type only the exponent.
Can I do √81 here as 81 to the 1/2?
You can, but the square-root card shows 9 from 81 directly, without the fractional-exponent detour.
Knowledge sources
The calculator computes the same formula as the definition below.
Page updated in 2026.