Contents
What do you do when the exponent is a fraction?
Rules for Rational Exponents. , this says that if the exponent is a fraction, then the problem can be rewritten using radicals. Notice that the denominator of the fraction becomes the index of the radical. , this says that if the exponent is a fraction, then the problem can be rewritten using radicals.
Can you have fractional exponents?
A fractional exponent is a technique for expressing powers and roots together. The general form of a fractional exponent is: b n/m = (m √b) n = m √ (b n), let us define some the terms of this expression. The index or order of the radical is the number indicating the root being taken.
What do fractional exponents mean?
A fractional exponent is an alternate notation for expressing powers and roots together. We write the power in numerator and the index of the root in the denominator. If there is no power being applied, write “1” in the numerator as a placeholder.
What do negative fractional exponents mean?
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.
How to deal with fractional exponents in math?
in a fractional exponent, think of the numerator as an exponent, and the denominator as the root. Another rule for fractional exponents: To make a problem easier to solve you can break up the exponents by rewriting them. For example, you can write x a b x^ {\frac {a} {b}} x b a as.
How to reduce the fraction of a numerator?
Prime Factorization Method 1 Find the prime factorization of both numerator and denominator. 2 Cancel out the common factors of the numerator and denominator. 3 Take away the remaining numbers in the numerator and denominator to find the reduced fraction.
Can a problem be rewritten using a rational exponent?
The Definition of: , this says that if the exponent is a fraction, then the problem can be rewritten using radicals. Notice that the denominator of the fraction becomes the index of the radical and the numerator becomes the power inside the radical. Example 1 – Rewrite using radicals.
What happens when you reduce a fraction to the simplest form?
An important step that we do while we solve fraction problems is to reduce them to the simplest form. Though we reduce them to simplify, the value of the fraction is going to remain unchanged. The reduced fraction is equivalent to the original fraction. In fact, the original fraction and the reduced fractions form a pair of equivalent fractions.