![]() ![]() That is, and, which means that a negative exponent is equal to reciprocal of the opposite positive exponent. Exercise 5.3.1 Use the quotient rule of exponents to simplify the given expression. ![]() ![]() Rewrite the expression by moving the factor with a negative exponent to th. The case where the exponent in the denominator is greater than the exponent in the numerator will be discussed in a later section. A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. A base that has a negative exponent can be changed to a fraction. The fractions with negative exponents in the denominator can be simplified by shifting the terms of negative exponents in any order from the denominator to the numerator and become positive exponents. How to simplify an algebraic fraction with a negative exponent in the denominator. Rule 1: The negative exponent rule states that for a base a with the negative exponent -n, take the reciprocal of the base (which is 1/a) and multiply it by. If you are in a science class, you also need to consider significant digits during this process. Updated: 03-26-2016 Basic Math
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