a^-n = 1/a^n
a^0 = 1 (a≠0)
a^n*b^n = (ab)^n
7^(2-x) = 4^(x-2)
1/7^(x - 2) = 4^(x - 2)
1 = 7^(x - 2)*4^(x - 2)
28^(x - 2) = 28^0
x - 2 = 0
x = 2
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Verified answer
a^-n = 1/a^n
a^0 = 1 (a≠0)
a^n*b^n = (ab)^n
7^(2-x) = 4^(x-2)
1/7^(x - 2) = 4^(x - 2)
1 = 7^(x - 2)*4^(x - 2)
28^(x - 2) = 28^0
x - 2 = 0
x = 2