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Math Help - need help with exponents

  1. #1
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    need help with exponents

    How would you simplify

    1) (5a^2b^3c^-1/2^-1abc^-1)^2

    2) (2/3) (2/3)^-1 (2/3)^-2 (2/3)^5

    3) (3xy/z)^3
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by DDuNsT View Post
    How would you simplify

    1) (5a^2b^3c^-1/2^-1abc^-1)^2
    multiply each of the powers by 2 and then simplify

    2) (2/3) (2/3)^-1 (2/3)^-2 (2/3)^5
    this is (2/3) raised to the sum of all the powers (remember, if you don't see a power written, then the power is 1). then simplify if you can

    3) (3xy/z)^3
    again, multiply all the powers by 3

    can you continue?

    here we used the rules:

    (x^a)^b = x^{ab} (this of course implies \left( \frac {x^a}{y^b} \right)^c = \frac {x^{ac}}{y^{bc}})

    (x^ay^b)^c = x^{ac}y^{bc}

    and x^a \cdot x^b = x^{a + b}
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