If x0, which of the following is equivalent to?

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问题 If x

0, 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 x

0, 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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本试题收录于： GRE QUANTITATIVE题库GRE分类

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If x0, which of the following is equivalent to?

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