SOLUTION: I have to simplify the polynomial and i am really confused. This problem is so different then the examples given in the text... {{{3x(x^5)^2}}} divided by {{{6x ^3(x^2)^4 }}}

Question 127400: I have to simplify the polynomial and i am really confused. This problem is so different then the examples given in the text...
divided by

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
divided by
.
or
.

.
When you square you can think of this in two ways. You multiply the exponent 2
times the exponent 5 to get or you multiply times itself to get:
.

.
In either case, you substitute for in the numerator and the problem
then becomes:
.

.
Now let's work on the term in the denominator. If you multiply the two exponents
you get which is also what you get if you multiply by itself
4 times. Substituting this into the denominator makes the problem become:
.

.
Back to the numerator. If you multiply times you add the exponents of
the x terms and you get for the numerator.
.
Then to the denominator. In multiplying by you get by
adding the exponents. Then with the factor 6 the denominator becomes . With
these reductions of the numerator and the denominator the problem then is reduced to:
.

.
Dividing the of the numerator by the of the denominator results in
.

.
[or you could just view this as canceling the of the numerator with the counterpart
in the denominator.] This reduction leaves you with:
.

.
And so, the answer to this problem is that it all simplifies down to
.
Hope this helps you to understand the problem and one way you might solve it.
.

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