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Division Of Terms With Same Exponents Example -1

In this chapter we are going to solve some examples based on division of terms with same exponents for example (2/5)3.

In the example (2/5)3 can be written as (2/5) x (2/5) x (2/5),
again it can be written as (2 x 2 x 2)/(5 x 5 x 5) = 23/53.

Therefore we get the result for (2/5)3 as 23/53.

Let us discuss few more examples :

•(5/7)3

•(8/3)4

•(X/Y)11

In the first example, i.e., (5/7)3.
Which can be written as (5/7) x (5/7) x (5/7) = (5 x 5 x 5)/(7 x 7 x 7) = 53/73.

Therefore the result for (5/7)3 = 53/73.

Coming to second example, i.e., (8/3)4.
Which can be written as (8/3) x (8/3) x (8/3) x (8/3) = (8 x 8 x 8 x 8)/(3 x 3 x 3 x 3) = 83/33

Therefore the result for (8/3)3 = 83/33 .

In the last example, i.e., (X/Y)11.
Which can be written as (X/Y) x (X/Y) x (X/Y) x (X/Y) x (X/Y) x (X/Y) x (X/Y) x (X/Y) x (X/Y) x
(X/Y) x (X/Y) = (X x X x X x X x X x X x X x X x X x X x X)/(Y x Y x Y x Y x Y x Y x Y x Y x Y x Y x Y) = X3/Y3.

Therefore the result for (X/Y)11 = X11/Y11.

The examples have been illustrated in the video below :

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