If x0, which of the following is equivalent to?

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问题 If x0, which of the following is equivalent to?

选项 A、x2
B、x3
C、x4
D、x5
E、x6

答案D

解析 To simplify, it can be helpful to write(x2)3 as(x2)(x2)(x2)in the given expression; that is,. Because x0, both numerator and denominator can be divided by x2, and the expression simplifies to x(x2)(x2), which, by the rules of exponents, is equal to x5.
    Another way to simplify the expression using the rules of exponents directly is as follows.

The correct answer is Choice D.
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