Today in class we learned how to multipy rational exponents.
There are three thinks you must konw [keep in mind], and they are.
1) Multiplying polynomials
2) Multiplying exponents iwht like bases. -add exponents
3) Adding fractions.
Now that you know the things to keep in mind lets do some examples.
The forth square root of 16x8y2 multiplied by the square root of 9xy5
[I know that the <> and < / SQRT > arent working so I'll just type it out like you would say it, sorry if thats an a bit hard to do...And I really dont have time to make graphx now.]
I cant write how the quesiton would look like at first but I can after the first step. The question is The forth square root of 16x8y2 multiplied by the square root of 9xy5, so just visualize it for now would you?
After the first step:
After you clear the brackets it would looke like this:
You know the original exponents that were there? Yeah well you have multiply them with the fractional exponent. You also have to square root or cube root or forth root, etc the whole number.
You Add the 5 with the 1/2. Remember that 5 is the same as 5/1 in fractional form. So multiply the tops and multiply the bottems.
5 x 1 = 5
1 x 2 = 2
Now if you've done that it should look like this:
Did you see what I did? I just multiplied the original exponents with the rooted exponent, which in this case was 1/2.
After you do that you need do you remeber what to do next? Well if you dont then your suppose to make the x's and the y's exponent's denominator the same, so you can add them later.
After that step it should look like this:
Again did you see the change? I changed the second term's x 1/2 and y 5/2 to 2/4 and 10/4. They are still the same fraction but they just have the same denominator.
Now that you;ve done that you should juts multiply the two terms and then your done.
If you do multiply the terms[Remeber to add the exponents (fractions)] you should end up with an answer like:
You see I multiplied the whole numbers and the fractional exponents were added. You know the product law right? Add the exponets when multiplying.
I hope that You all understood that...>_<
Tell me if theres any mistakes in there or if you dont understand something ^^
The next scribe is Dinh, the guy who started it all >:)