SOLUTION: What are the correct missing values in the two problems? (Missing value = M) {{{(x^(M)*y^3)^-2 = (x^4/y^6)}}} AND {{{(x^4*y^-3)^(M) = (y^9/x^12)}}}

Algebra ->  Exponents -> SOLUTION: What are the correct missing values in the two problems? (Missing value = M) {{{(x^(M)*y^3)^-2 = (x^4/y^6)}}} AND {{{(x^4*y^-3)^(M) = (y^9/x^12)}}}      Log On


   

Question 1104754: What are the correct missing values in the two problems? (Missing value = M)
%28x%5E%28M%29%2Ay%5E3%29%5E-2+=+%28x%5E4%2Fy%5E6%29
AND
%28x%5E4%2Ay%5E-3%29%5E%28M%29+=+%28y%5E9%2Fx%5E12%29
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
this would be-2m=4, so m=-2
and 3(-2)=-6, which is 6 in the denominator.
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This would be for x 4m=-12, m=-3. Negative exponents become positive across the fraction.
and for y -3(-3)=9, and that is correct to check.