The product of 3^4*3^-2 is

Question

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

Answer 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

Answer 2

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