FRACTIONAL EXPONENTIAL NUMBERS

The mathematics lesson, the exponential numbers subject. Addition, subtraction, multiplication, and division operations with fractional exponent numbers. Equation solve in fractional exponent numbers.



Exponential number that have the fractional exponent is a rooted number that it is written in exponential number form.

Denominator of a fractional exponent is the degree of the rooted number.

Numerator of a fractional exponent is the power of the number in root.

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Example

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Doing operation with the numbers that its exponent is fractional is like doing operation with the numbers that its exponent is not fractional. The only difference is the exponent that is fractional.

Example:

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What is the result of the above operation?


Solution:

The exponents of the exponential numbers that its have the same base are added.

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X5


Example:

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What is the result of the above operation?


Solution:

The bases and exponents of the terms in numerator of the fraction are the same, the coefficients are different. Between the coefficients of in the numerator and denominator numbers are does addition and subtraction.


ExpFrcK1I5  


Let we simplify the 2’s and let we do subtraction between the exponents of the exponential numbers which is situated on the numerator and the denominator.

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 = X


Example:

ExpFrcK1I7 


What is the result of the above operation?


Solution:

If between exponential numbers with the same bases are done multiplication, the exponent of this numbers are added.

When between the exponential numbers are done addition operation, the coefficients of the exponential numbers which its have the same bases and the exponents are added.

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Example:

ExpFrcK1I9


According to the above equality, what is the x value?


Solution:

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Step – 1


Let we multiplication the numbers that in the numerator of fraction.

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Step – 2 

 Let we addition the numbers that on the numerator of the fraction.

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Step – 3 

Now, Let we do the divide and simplification.

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The exponents must be equal if the bases are equal.

x  = 3
3




x = 9


Example:

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Find the x.


Solution:

Do add the numbers that on the numerator.

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Do the divide and simplification operations.

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3x = 2
5




3x = 10

x = 10/3





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04/07/2018

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