Which expression is equivalent to a 11 12 , where a > 0 ?

Question

Which expression is equivalent to a 11 12 , where a &#62; 0 ?

Accepted Answer

Choice B is correct. Since 12 12 = 1 , multiplying the exponent of the given expression by 12 12 yields an equivalent expression: a 11 12 12 12 = a 132 144 . Since 132 144 = 132 1 144 , the expression a 132 144 can be rewritten as a 132 1 144 . Applying properties of exponents, this expression can be rewritten as a 132 1 144 . An expression of the form m 1 k , where m > 0 and k > 0 , is equivalent to m k . Therefore, a 132 1 144 is equivalent to a 132 144 . 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.

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