OG详解-OG1 数学2 Q19

Choice B is correct. Since1212​​ = 1, multiplying the exponent of the given expression by1212​ yields an equivalent expression:  Since   the expression a132144​​ can be rewritten as    Applying properties of exponents, this expression can be rewritten as  . An expression of the form ​，where m >0  and k >0 , is equivalent to ^k​√m  . Therefore,   is equivalent to¹⁴⁴√a132​.

Choice A is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.