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Math Help - Help Simplifying with a polynomial exponent

  1. #1
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    Help Simplifying with a polynomial exponent

    Hoping someone can help me here. I'm taking an online high school math course, and I'm unsure I'm doing one of the questions right, and can't find a similar problem anywhere. Simplify this equation:

    Help Simplifying with a polynomial exponent-math_image.gif

    After going through a bunch of steps including expanding, simplifying, laws of exponents, etc, I've come up with a final answer of x^(3b^2). I'd show my work except I stink at formatting, but I'll try if anyone thinks it would be helpful!

    Thanks in advance!
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  2. #2
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    Re: Help Simplifying with a polynomial exponent

    Quote Originally Posted by malajulinka View Post
    Hoping someone can help me here. I'm taking an online high school math course, and I'm unsure I'm doing one of the questions right, and can't find a similar problem anywhere. Simplify this equation:

    Click image for larger version. 

Name:	math_image.gif 
Views:	13 
Size:	1.7 KB 
ID:	24135

    After going through a bunch of steps including expanding, simplifying, laws of exponents, etc, I've come up with a final answer of x^(3b^2). I'd show my work except I stink at formatting, but I'll try if anyone thinks it would be helpful!

    Thanks in advance!
    that would be correct ...

    \frac{(x^{a+b})^{a-b}}{(x^{a-2b})^{a+2b}} = \frac{x^{a^2-b^2}}{x^{a^2-4b^2}} = x^{3b^2}
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  3. #3
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    Re: Help Simplifying with a polynomial exponent

    Thanks Skeeter! Those were my steps too, with lots more in between. Every online solver I tried would tell me it couldn't be simplified, but I *knew* I was onto something!
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