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2³
5²-3²
= ------
2³
=(25-9)/8=2
2. {(27a^-5)(b^-3)}^-1
--------------------
{(3^5)(a^-7)(b^-5)}^-1
= {(9)(a²)(b²)}^-1
1
= ----------
(9)(a²)(b²)
3. a.(2^-x)(1/4)^x+1 = 1/32
(2^-x)(2^-2)^x+1 = 2^-5
(2^-x)(2^(-2x-2)) = 2^-5
(2^(-3x-2)) =2^-5
-3x-2 =-5
-3x=-3
x=1
b. 2^(3x+1) = 2^7
3x+1 = 7
3x = 6
x=2