math

The product of 3^4*3^-2 is
so I multiplied the exponents and got
4*-2
=-8
so my answer is 3^-8
Is this correct?
Thanks for checking my work

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asked by B8
  1. a ^ m * a ^ n = a ^ ( m + n )


    3 ^ 4 * 3 ^ ( - 2 ) = 3 ^ [ 4 + ( - 2 ) ] = 3 ^ ( 4 - 2 ) = 3 ^ 2 = 9


    OR

    3 ^ 4 = 81

    3 ^ ( - 2 ) = 1 / 3 ^ 2 = 1 / 9

    3 ^ 4 * 3 ^ ( - 2 ) = 81 * 1 / 9 = 81 / 9 = 9

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    posted by Bosnian
  2. thank you I see my mistake.
    I multiplied the exponents instead of adding them.
    Thanks for correcting it for me.

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    posted by B8

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