Exponent Calculator
Calculate the power of any base number.
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Understanding Exponents
An exponent, often referred to as "power," is a mathematical operation that indicates how many times a number, known as the base, is multiplied by itself. It is usually written as a small number in the superscript position to the right of the base (e.g., nx).
The Parts of an Exponent
- Base: The number being multiplied.
- Exponent: The number of times the base is used as a factor.
Common Rules of Exponents
Mastering exponents requires understanding a few fundamental rules:
- Zero Exponent Rule: Any non-zero base raised to the power of 0 is always 1 (n0 = 1).
- Negative Exponents: A negative exponent means the reciprocal of the base raised to the positive power (n-x = 1/nx).
- Product Rule: When multiplying powers with the same base, add the exponents (na × nb = na+b).
- Power of a Power: When raising a power to another power, multiply the exponents ((na)b = na*b).
Calculation Example:
To find the value of 5 raised to the power of 3 (53):
5 × 5 × 5 = 125
In this case, 5 is the base and 3 is the exponent.
Why Use an Exponent Calculator?
While basic squares and cubes (like 22 or 33) are easy to solve mentally, larger numbers or fractional exponents (roots) become complex very quickly. This exponent calculator handles large integers, decimals, and negative exponents instantly, providing accurate mathematical results for students, engineers, and data scientists.