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exponent law question:
Simplify the following exponents.

1. (16)(2^(x+2))

2. ((ab)^(2x+y))/(a^(x)b^(y))

  • math -

    (16)(2^(x+2))
    = (2^4) (2^(x+2) )
    = 2^(x+6)

    ((ab)^(2x+y))/(a^(x)b^(y))
    = a^(2x+y) b^(2x+y) / ( (a^x)(b^y) )
    = a^(x+y) b^(2x)

  • math -

    Wouldn't there be a 4 attached to the x for the first one?

  • math -

    no, you add the exponents and
    4 + x+2 = x+6

  • math -

    Hm ok. If I had (x^(a-b))^a+b
    ..would that be multiplication or adding of the a's and b's

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