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What is Fractional Exponent?
Fractional exponents are a way of expressing powers and roots in a single mathematical notation. A fractional exponent is an exponent that is a fraction, like m/n where m is the numerator and n is the denominator. Also, in the fractional exponent we have some terms that you need to remember. Which are: Radicand: The radicand is the expression under the sign √. In the expression above, the radicand is b^m, Index: The index or also known as the order of the radical, is the number that indicates which root is being applied. In the expression above, the index is n, Base: The base is the number to which the root or power applies. In this case, the base is b and lastly, we have the Power: Power indicates repeated multiplication of the base by itself. In the expression above, the power is m.
The general rule for fractional exponents is:
This could help/work too.
Here is an example for you to see how it works.
Example of fractional exponent.
Another Example:
Example with a Negative Fractional Exponent:
So, as you can see in this example we have a negative exponent. First, we do the reciprocal as you can see on the example. Then we Square root of 16 which is 4. So, the answer will be 1/4.
Some other examples for you to understand
Reflection
We can express roots and powers in a single form by using fractional exponents. Particularly in algebra, where integrals and derivatives frequently involve fractional exponents, this technique is essential for simplifying and resolving problems involving roots.
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