Algebra Fractional Exponents

In algebra we can utilize numbers with letters of the alphabet such like a,b,c, etc for any numerical values are select. thus, algebra is an expansion of arithmetic. Here the fractional exponents are a part of Algebra, that make an expression as am/n. In the fractional exponent the denominator that is identical to the index of the radical such as x1/n=`root(n)(x)`.

Algebra fractional exponents:

Algebra is really larger than basic algebra and when special rules of method are used also when process are formulate for more than numbers. In the exponential is the function e^x, where e is the digit such to the consequence e^x the equivalent its contain derived. The exponential function is utilized to constitution happening when a constant modify in the self-determining variable give the similar proportional vary in the dependent variable.

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exponential Function:

e^a*eb = e^a +b
e^a/eb = e^a-b
eln(x) = x
ln(e^x) =x
e^0=1

examples for algebra fractional exponents:

example 1:

How to Solve the fractional exponents x^5/3 * x^4/3.

Solution:

Step 1:   The given  equations x^5/3 * x^4/3.

Step 2:    Rule 1: x^y * xz = x^y+z

By using this rules for this function

Step 3:       x^5/3 * x^4/3 = x^5/3+4/3

Step 4:        x^5/3 * x^4/3 = x^5/3+4/3

Step 5:         = x^(5+4)/3

Step 6:        = x^9/3

So the solution is    x^5/3 * x^4/3 = x^9/3.

example 2:

How to Solve the fractional exponents  (51/2)^8

Solution:

Step 1:  (51/2)^8

Step 2:     Rule 2:      (x^y)z = x^yz

Step 3:  By using this rule in this function

Step 4:   (51/2)^8 = 51/2*8

Step 5:    (51/2)^8 = 5^4

So the solution is  (51/2)^8 =  625

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example 3:

How to Solve the fractional exponents  22/3 * 24/6

Solution:

Step 1: the given function is  22/3 * 24/6

Step 2: Rule 3:    x^y * x^z = x^y+z

Step 3:   By using this rule in this function is

Step 4:         22/3 * 24/6 = 22/3+4/6

Step 5:        22/3 * 24/6 = 2(4+4)/6

Step 6:        =  2^(4+4)/6

= 28/6 = 24/3

So the answer is 24/3

example 4:

How to Solve the fractional exponents  491/2

Solution:

Step 1:  the given equation  491/2

Step 2:   Rule 4: x1/n=`root(n)(x)`

Step 3: by using rule in this function

Step 5:   491/2  =`root(2)(49)`

Step 6: So the solution is  491/2  =`root(2)(49)`

example 5:

How to Solve the fractional exponents  92*0.5

Solution:

Step 1:  92*0.5

Step 2:  92*0..5 = 92 * 90.5

Step 3:  = 92 * 91/2

Step 4:  92*0.5 = 81 * 9

So the solution is 729