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REY [17]
3 years ago
10

2^m×2^n=2^-6 and determine which values of m and n are solutions are solutions

Mathematics
2 answers:
Gnoma [55]3 years ago
8 0
Remember
(x^m)(x^n)=x^{m+n}
and
if x^m=x^n where x=x then m=n
so
(2^m)(2^n)=2^{m+n}=2^{-6}
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
Lina20 [59]3 years ago
7 0
(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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