How to solve negative fraction exponents

A positive exponent tells you how many times to multiply the base number by itself.

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How to solve negative fraction exponents

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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.

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How to solve negative fraction exponents

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.

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A negative fractional exponent works just like an ordinary negative exponent. Go ad-free AND get instant access to grade-boosting study tools! Online Tutors. You'll be billed after your free trial ends. Group Discount. If you're seeing this message, it means we're having trouble loading external resources on our website. So remember, just take a deep breath. If that seems confusing, a few more concrete examples can help:. Many people are familiar with whole-number exponents, but when it comes to fractional exponents, they end up doing mistakes that can be avoided if we follow these rules of fractional exponents. Your Free Trial Starts Now!

A negative exponent is defined as the multiplicative inverse of the base, raised to the power which is of the opposite sign of the given power. In simple words, we write the reciprocal of the number and then solve it like positive exponents.

About About this video Transcript. So I encourage you to pause the video and think about what this would evaluate to. Fractions with negative exponents can be solved by taking the reciprocal of the fraction. Fractional exponents mean the power of a number is in terms of fraction rather than an integer. So moving on from the above, we can continue solving with the negative exponent as we did before. Maths Puzzles. So, we have. Note that a number to a negative exponent is not necessarily a negative number. Then, find the value of the number by taking the positive value of the given negative exponent. Please wait while we process your payment. Why are Negative Exponents Fractions?