Wednesday, May 1, 2013

If x= 2. Find x^2/3 ( x^120/ x^110) * x^-7 ?

Given x = 2.


Let E (x) =
 x^2/3 ( x^120/ x^110) * x^-7


Then, we need to calculate
E(2).


First, let us simplify the
expression.


x^2/3 ( x^120 / x^110) *
x^-7


Let us simplify between the
brackets.


( x^120/ x^110)


We
know that x^a/ x^b = x^(a-b).


==> x^120/ x^110 =
x^(120-110)= x^10


==> E(x) = (x^2/3) ( x^10) *
x^-7


Now we know that x^a* x^b =x^
(a+b).


==> E(x) = x^ ( 2/3 + 10 +
-7)


                = x^ (2/3 +
3)


                 =
x^(11/3).


==> E(x) = x^
11/3


Now let us substitute with x=
2.


==> E(2) = 2^11/3 = 12.7 (
approx.)


Then E (x) = 12.7 
when x = 2.

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