PSAT Math Multiple-Choice Question 10: Answer and Explanation

Question: 10

Which of the following expressions is equivalent to ?

• A.
• B.
• C.
• D. 3m⁴n^-6

Correct Answer: B

Explanation:

B

The question asks for an equivalent form of an expression. When dealing with a question about fractional exponents, remember the exponent rules. In a fractional exponent, the numerator is the power the base is raised to and the denominator is the root of the base. Start with applying the fractional exponent to the coefficient of 3. Therefore, . Eliminate (A), (C), and (D) because they do not include the correct coefficient. Simplifying the m and n terms confirms this. Remember the MADSPM rules: the MA part of the MADSPM acronym indicates that Multiplying matching bases means to Add the exponents. Therefore, . Similarly, . The correct answer is (B).