ISEE Word Problems Question 156: Answer and Explanation

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Question: 156

3. Which expression is equivalent to the expression ?

  • A. 18x3
  • B. 18x6
  • C. 6x3
  • D. 6x6

Correct Answer: D

Explanation:

The answer is D

The square root of 36 is 6. For the variable, you must use the rules of exponents. If the bases are the same, add the exponents when you multiply the terms. The term x12 represents a base of x that was squared, i.e., multiplied by itself. Thus the two exponents added were the same value and produced a sum of 12. (x6)(x6) = x12. To find the square root, divide the exponent in half. = x6.

The square root of an exponent will be one-half of the exponent.

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