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To solve negative exponents with fractions, we have to use both the negative exponents’ rule and the fractional exponent’s rule. We will look at the process that can be used to simplify expressions that have negative exponents with fractions along with various exercises to improve understanding.
The -1/3 exponent means take the third root of the reciprocal. So remember that any number when divided by 1 is equal to the number itself. The negative exponent means take the reciprocal, or flip the fraction, so, ( (-27)^-1/3) / 1 = 1 / ( (-27)^1/3), and the negative exponent is now a positive exponent.
As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an...
Fractions with negative exponents can be solved by taking the reciprocal of the fraction. Then, find the value of the number by taking the positive value of the given negative exponent. For example, (3/4) -2 = (4/3) 2 = 4 2 /3 2 .
Course: Algebra 2 > Unit 6. Lesson 3: Evaluating exponents & radicals. Evaluating fractional exponents. Evaluating fractional exponents: negative unit-fraction. Evaluating fractional exponents: fractional base. Evaluating quotient of fractional exponents.
Learn about negative fractional exponents with examples on Khan Academy.
Algebra: Negative and Fractional exponents. We all know that exponents with positive integer power mean multiplying the number by itself as many times as the power is. . This section discusses more complicated exponents -- negative power and powers that are numeric fractions. Two formulas to remember:
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σχετικά με: algebra negative fraction exponents examplesAutomatically Solve Problems. Submit Your Math Problems in Algebra, Words, Latex, or Unicode