PSAT Math Multiple-Choice Question 6: Answer and Explanation

Question: 6

Which of the following is equivalent to the expression ?

• A.
• B.
• C.
• D.

Correct Answer: D

Explanation:

D

The question asks for an equivalent form of an expression. When dealing with a question about negative and fractional exponents, remember the exponent rules. Since x⁶ doesn't change form, eliminate (C). A negative exponent means to take the reciprocal of what would be the result if the negative weren't there. Therefore, y^-3 can be rewritten as , so eliminate (A). In a fractional exponent, the numerator is the power the base is raised to and the denominator is the root of the base. Therefore, can be rewritten as , so eliminate (B). The correct answer is (D).