Respuesta :

apologiabiology
remember
[tex](x^m)(x^n)=x^{m+n}[/tex]
and
if [tex]x^m=x^n[/tex] where x=x then m=n
so
[tex](2^m)(2^n)=2^{m+n}=2^{-6}[/tex]
so
m+n=-6
so test the options

first one works
2nd ones doesn't
3rd one doesn't
4th one doesnt'

answer is first option, m=3 and n=-9
mreijepatmat
(2^m)(2^n) = 2^(-6)

(2^m)(2^n) = 2^(m+n) = 2^(-6)

Since 2 = 2 their exponent are equal:
m+n = - 6

if m = 3 and n = -9  then m+n = 3-9 = -6
And tge answer is 1. m=3 & n = -9

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