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Math Help - powers err help

  1. #1
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    Angry powers err help

    axaxaxaxbxbxbxbxb= ?

    2xax3xax4xa=??
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  2. #2
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    Quote Originally Posted by starslacker View Post
    axaxaxaxbxbxbxbxb= ?

    2xax3xax4xa=??
    How many times does a appear?
    4 times.
    How many times does b appear?
    5 times.
    Thus,
    a^4b^5
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  3. #3
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    Hello, starslacker!

    (1) axaxaxaxbxbxbxbxb = ?

    (2) 2xax3xax4xa = ?

    I assume those x's are multiplication signs.

    You must be new to Algebra; we never use \times for multiplication
    . . because we also use x quite often.

    (1) It can be written: . (a)(a)(a)(a)(b)(b)(b)(b)(b) or a\!\cdot \!a\!\cdot\!a\!\cdot\!a\!\cdot\!b\!\cdot\!b\!\cdot  \!b\!\cdot\!b\!\cdot\!b
    . . It can even be written: . aaaabbbbb

    . . Look at what we have: . \underbrace{a\!\cdot \!a\!\cdot\!a\!\cdot\!a}_{\text{4 a's}}\!\cdot\!\underbrace{b\!\cdot\!b\!\cdot\!b\!\  cdot\!b\!\cdot\!b}_{\text{5 b's}}

    . . This can be written: . \boxed{a^4b^5}


    (2) We have: . 2\!\cdot\!a\!\cdot\!3\!\cdot\!a\!\cdot\!4\!\cdot\!  a \:=\:2\!\cdot\!3\!\cdot\!4\!\cdot\!a\!\cdot\!a\!\c  dot\!a \:=\:\boxed{24a^3}

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