What is an exponent calculator?
An exponent calculator is an online tool that calculates powers by raising a base number to an exponent. It can handle positive, negative, fractional, and decimal exponents depending on the calculator.
Exponent Calculator
Compute powers quickly for homework, finance formulas, or science work. Supports negative bases and fractional exponents where defined.
Enter base and exponent
Provide the base number and the exponent (power). Example: 2^8 = 256.
About this calculator
How to use Exponent Calculator, plus the formulas and logic behind the results.
Tool description
The Exponent Calculator raises a base to a positive, negative, or fractional power and shows both standard and scientific notation when useful.
How to use
- Enter the base number.
- Enter the exponent (power).
- Select Calculate to view the result.
- Avoid 0 raised to a negative exponent, which is undefined.
Formulas & reference
b^e for real exponents where definedb^(−e) = 1 / b^e when b ≠ 0b^(1/2) = √b for b ≥ 0
Exponent rules reminder
- x^0 = 1 for any x ≠ 0
- x^1 = x
- x^a × x^b = x^(a+b)
- Negative exponent: x^−n = 1 / x^n
Calculation logic
PHP power arithmetic evaluates the expression. Non-finite outcomes (overflow/undefined) are reported as errors. Scientific notation is formatted from the same numeric result.
Zero raised to a negative exponent is undefined. Extremely large results may exceed display limits.
Exponent Calculator FAQ
Common questions about this calculator and how to use the results.
How do you calculate exponents?
An exponent tells you how many times a number is multiplied by itself. For example, 2³ means 2 × 2 × 2, which equals 8.
What is an exponent in math?
An exponent is a number that indicates how many times a base is multiplied by itself. In 5³, for example, 5 is the base and 3 is the exponent.
What is the difference between an exponent and a power?
An exponent is the number that indicates repeated multiplication, while a power generally refers to the entire expression. In 2⁴, 4 is the exponent and 2⁴ is the power.
How do you calculate a number raised to a power?
Multiply the base by itself according to the value of the exponent. For example, 3⁴ = 3 × 3 × 3 × 3 = 81.
What does a negative exponent mean?
A negative exponent means the reciprocal of the base raised to the corresponding positive exponent. For example, 2⁻³ = 1/2³ = 1/8.
How do you calculate a negative exponent?
Change the base to its reciprocal and make the exponent positive. For example, 5⁻² becomes 1/5², which equals 1/25.
What does an exponent of zero mean?
Any nonzero number raised to the power of zero equals 1. For example, 10⁰ = 1 and 25⁰ = 1.
How do you calculate fractional exponents?
A fractional exponent combines powers and roots. For example, 9^(1/2) means the square root of 9, which is 3.
How do you calculate decimal exponents?
Decimal exponents can be evaluated using logarithmic or numerical methods. An exponent calculator can quickly calculate the result without requiring manual calculations.
What are the basic rules of exponents?
Common exponent rules include multiplying like bases by adding exponents, dividing like bases by subtracting exponents, and raising a power to another power by multiplying the exponents.
How do you simplify expressions with exponents?
Apply the exponent rules to combine or reduce powers. For example, x² × x³ can be simplified to x⁵ because the bases are the same and the exponents are added.