I am currently reviewing my whole algebra textbook for a CAT6 test on tuesday. Apparently, it is very difficult, so I'm taking every minute to review.(adsbygoogle = window.adsbygoogle || []).push({});

Anywho, I ran into 3 problems that are currently driving me crazy. :tongue:

One concerns roots.

Here is the problem the book presents:

(6x^{2}x)x^{1/2}

My answer was (36x^{3})^{1/2}. But the book says the answer is (6x)^{5/2}

BTW, how do you write root signs using the latex program?

another root problem:

y^{3}/y^{1/4}

My answer was x^{3/4}. The book says x^{11/4}is the answer.

Now, here is a factoring problem:

-4(x+16)^{4}+ 9(x+16)^{2}+ x + 16

On this problem, the part that confuses me is the answer:

[-4(x+16)^{3}+ 9x + 145) (x+16)

I arrived at this answer on my own, except I went one step further:

when I got to [-4(x+16)^{3}+ 9x + 145) (x+16) , I went ahead and rewrote (x+16)^{3}as (x+16)(x+16)^{2}so that I could distribute the -4. I then arrived at (x+16)^{3 (5x+81). Apparently, my final step was incorrect. I would like to know why. Also, I did most of these operations in my head (as it is easier for me to do so), so if you would like me to explain anything that I did, I should point out that I may sound unmathematical in a sense. Thank you for your time.}

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# Confusing answers.

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