What does a fraction exponent mean

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What does a fraction exponent mean

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If an exponent of a number is a fraction, it is called a fractional exponent. Exponents show the number of times a number is replicated in multiplication. Here, exponent 2 is a whole number. In this article, we will discuss the concept of fractional exponents, and their rules, and learn how to solve them. We shall also explore negative fractional exponents and solve various examples for a better understanding of the concept. Fractional exponents are ways to represent powers and roots together. In any general exponential expression of the form a b , a is the base and b is the exponent. When b is given in the fractional form, it is known as a fractional exponent. There are certain rules to be followed that help us to multiply or divide numbers with fractional exponents easily.

What does a fraction exponent mean

Fractional exponents are a way to represent powers and roots at the same time. When an exponent is fractional, the numerator is the power and the denominator is the root. We can see that the numerator of the fractional exponent is 3 which raises x to the third power. The denominator of the fractional exponent is 2 which takes the square root also called the second root of x. The order of applying the power and root to our number or variable does not matter. This has us evaluating x 3 and then taking the square root of that. In this case, we will be evaluating the square root of x, and then raising that result to the third power. In this section we will go over how to add, subtract, multiply, and divide fractional exponents. Keep in mind that performing these operations on fractional exponents is the same process as normal exponents , with the extra considerations we must have when operating with fractions. The rule is given as:.

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While positive integer exponents tell us how many times to multiply the base, and negative exponents tell us how many times to divide by the base, fractional exponents involve a combination of powers and roots. When a base is raised to a fractional exponent, the numerator indicates the power the base is raised to, and the denominator indicates the root the base is raised to. This is expressed as.

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