Question 133284
{{{(3/2)^(m/2) = 4/9}}} Start with the given equation



{{{(3/2)^(m/2) = (3/2)^(-2)}}} Rewrite {{{4/9}}} as {{{(3/2)^(-2)}}}. Notice how {{{4/9=(3/2)^(-2)}}} 



Since the bases are equal, this means that the exponents are equal. So 



{{{m/2=-2}}} 



{{{m=-4}}} Multiply both sides by 2



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Answer:

So our answer is {{{m=-4}}}