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Free Exponents Calculator - Simplify exponential expressions using algebraic rules step-by-step
Free exponent calculator - step-by-step solutions to help simplify the given exponential expression.
When an exponent is 0, the result of the exponentiation of any base will always be 1, although some debate surrounds 0 0 being 1 or undefined. For many applications, defining 0 0 as 1 is convenient. a 0 = 1. Shown below is an example of an argument for a 0 =1 using one of the previously mentioned exponent laws.
- What Is An exponent?
- Basic Exponent Rules
- Table to Determine The Nth Power of A Number
- References
In Mathematics, exponent mean the power. It indicates how many copies of a number multiply together. It's written as a small raised number to the right of the base. For Example: In this example, 4 copies of 7 are multiplied together to give 2401 as 7*7*7*7.
Product Rule: When multiplying a positive base by two different exponents, then the resultant is the exponents of bases. am.an=am+nam.an = a{m+n}am.an=am+n Quotient Rule: When dividing a positive or negative bases by two different exponents, then the difference of both the exponents is the power of bases. aman=am−n{\frac{am}{an}} = a{m-n}anam=am−n...
A fractional exponent, like a²/³ is where the exponent is a fraction. It can be written as a root as well, like ³√a. Now, calculating exponents for both negative as well as positive integers become very easy with the exponent calculator. Look at the table below for some common values of integers:
Wikipedia: Definition & rules of exponentiation Sciencing.com: How to find it manually. Other languages: Kalkulator Potęg, Kalkulator Eksponen, Üslü Sayı Hesaplama, Potenzrechnung, 指数計算, 지수 계산기, Mocniny Kalkulačka, Calculadora De Potencia, Calcul Puissance, Calculadora De Potencias, Calcolo Potenza, Калькулятор Экспоненты, Potenssi Laskin, Potens K...
Zero exponent rule: Any non-zero number raised to the power of 0 is equal to 1. Negative exponent rule: This rule states that a negative exponent is equivalent to taking the reciprocal of the base raised to the positive exponent. Exponent of 1 rule: Any number raised to the power of 1 is equal to itself. Exponent of -1 rule (reciprocal rule):
Zero Property of Exponents: The zero property of exponents is applied when the exponent of any base is 0. This property says, "Any number (other than 0) raised to 0 is 1." Note that 0 0 is not defined. This rule involves irrespective of the base the value for a zero exponent is always equal to 1, a0 = 1.
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Instructions: Use this exponent calculator to compute any operation involving exponents, showing all the steps. Please type a valid expression involving exponentials in the form box below. Enter the exponent expression you want to calculate (Ex: 2^3 * 2^ (1/2), etc.)