(3^-2 × 4^-2)^-3 = 12^x
In the given expression find the value of x.

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.

also read similar questions:- will give brailiest will give brailiest Which expression models the given phrase? half of the product of x and 3. 3x/2 (3+x)/2 2(3x) 2(x+3) Simplify the followi...

step-by-step explanation:

i believe its "c" because all of the other options include a but it could be d because there is a way of financing with cash at certain places but its uncommon.

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest