Given that (3^-2×4^-2)^-3 = 12^x
⇛ [(3×4)^-2]^-3 = 12^x
Since a^m × b^m = (ab)^m
⇛(12^-2)^-3 = 12^x
⇛ 12^(-2×-3) = 12^x
Since (a^m)^n = a^mn
⇛ 12^6= 12^x
⇛6 = x
Since the bases are equal then exponents must be equal
Therefore,x = 6
Additional comment:-
If the bases are equal then exponents must be equal.
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