SAT Math Multiple Choice Question 715: Answer and Explanation

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Question: 715

10. If y = x2, where x ≠ 0, and w = y6, which of the following expresses the value of Images in terms of x?

  • A. x2
  • B. x4
  • C. x5
  • D. x6

Correct Answer: D

Explanation:

D

Algebra (exponentials) MEDIUM-HARD

Expression to be evaluated:

Images

Substitute w = y6:

Images

Simplify with Exponential Law #6 (from Chapter 9, Lesson 9):

y3

Substitute y = x2:

(x2)3

Simplify with Exponential Law #8 (from Chapter 9, Lesson 9):

x6

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