algebra

^ = to the power

1. 8^1/2*8^-5/2
2.3^5/3(divided by) 3^2/3

**please show work

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  1. to multiply add exponents if the base is the same
    8^(1/2 -5/2)
    = 8^(-2)
    = 1/8^2
    = 1/64

    1/3^(2/3) = 3^(-2/3)
    so
    =3^(5/3) * 3^(-2/3)
    =3^(3/3)
    =3

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    posted by Damon
  2. i do not understand the second problem.

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  3. negative exponent definition:

    a^-b = 1/(a^b)

    derivation:

    when you multiply you add exponents
    when you divide you subtract exponents (remember a^0 = 1)
    1/a^b = a^0/a^b = a^(0-b) = a^-b

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    posted by Damon

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