100 POINTS !!!!!!!!!!!!!!!!!!!!!!!!
100 POINTS !!!!!!!!!!!!!!!!!!!!!!!!
remember
x^-m=1/x^m
1/12=12^-1
also
(x^m)^n=x^(mn)
also (x^m)(x^n)=x^(m+n)
\(( \frac{1}{12} )^{-2b}(12)^{-2b+2}=12\)
\(( 12^{-1})^{-2b}(12)^{-2b+2}=12\)
\(( 12^{2b})(12)^{-2b+2}=12\)
\(12^{2b-2b+2}=12\)
12²=12
false
no solution
Solution:
(1/12)^(-2b) * 12^(-2b+2) = 12
(12^-1)^(-2b) (12)^(-2b+2) = 12
(12^2b)(12)^(-2b+2) = 12
12^(2b-2b+2) = 12
12^2 = 12
144 does not equal 12
No solution.
Best of Luck!