Asked by B8

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
Answered by Bosnian
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
Answered by B8
thank you I see my mistake.
I multiplied the exponents instead of adding them.
Thanks for correcting it for me.
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