SAT Math Multiple Choice Practice Question 41: Answer and Explanation

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Question: 41

19. If p and q are positive integers, then is equivalent to

A. 5
B. 5pq + p
C. 5pq
D. 5pq - p
E. 5q + 1

Correct Answer: C


C. This problem involves exponent laws: When you take a power of a power, such as , you multiply the powers. So this expression equals 5p(q + 1) = 5pq + p. Also, when you multiply exponents, you add the powers, so .

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