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Test
Math
Domain
Advanced Math
Skill
Equivalent expressions
Difficulty
Medium
ID: a520ba07
Modded SAT Question Bank by Abdullah Mallik

the cube root of x to the power 3, times y to the power 6, end root

Which of the following expressions is equivalent to the expression above?

  1. y squared
  2. x times y squared
  3. y cubed
  4. x times y cubed
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Correct Answer: B
Rationale

Choice B is correct. One of the properties of radicals is the nth root of a times b, end root, equals the nth root of a, end root, times the nth root of b, end root. Thus, the given expression can be rewritten as the cube root of x cubed, end root, times the cube root of y to the power 6, end root. Simplifying by taking the cube root of each part gives x1 ⋅ y2, or xy2.

Choices A, C, and D are incorrect and may be the result of incorrect application of the properties of exponents and radicals.

Question Difficulty: Medium
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