Monster radical equation :)

OK, for this radical equation, I'm going to just put the problem down because I have no clue how to show my mathematical progress through Microsoft word 0_0 Anyways let's get it started. This is how I solved this problem.

PROCESS:

1 Like I said before, I do not like to leave negatives in the equation so I'm going to solve them first. So, I move my x^-2 to the bottom and I move the y^-4 to the top and they become positive :)

2. I distribute my exponent 5/2 to every number/variables and it becomes like 81^5/2, y^10, 49^5/2 and x^5.

3. So now you might notice that we can simplify the numbers with exponents. When we do simplify them the result would be 59049 y^10/ 16807 x^5.

4. And we now have our Monster EQUATION SOLVED!

Solving Rational Equation 1

AHHH!! I totally forgot that I forgot to post a POST about how to solve a rational equation! Because of that I lost 10 mark! Although thanks to our most generous teacher Mr. Cheng, he told me he would change my mark if I post it before the first term. So enough of talking, let's et down to business.



Ok This expression seems quite confusing... Plus I haven't done this for WEEKS! Well let's solve it slowly:

Procedure of Solving:
1. For me, I really dislike negative numbers, so I usually solve them first. So I bring up the x^-2 up to make it positive and add it up with an x. So it would equal x^3.

2. Then I wold distribute the exponent 3/2 to the expression. So it would be 16^3/2 (x^3)^3/2 OVER 25^3/2.

3. We also learned from previous lessons, how to change exponents in fractions to radicals. So it would be Root 16^3 then we simplify the (x^3)^3/2 into x^9/2 OVER root 25^3. Now when you simply these two radicals, you wold get 64 for the numerator and 125 for the denominator.

4. Then we change the x^9/2 to Root x^9.

5. We are almost there! but not quite yet.. we still have to bring out the root x^9 into something MORE simpler, so it would become x^4 root x.

6. Finally you would put all of these together and would get the answer from the diagram above.

WE ARE DONE!!! WHOOT