ISEE Mathematics Achievement Question 314: Answer and Explanation
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Question: 314
14. xa = (x3)3
yb =
What is the value of a × b ?
- A. 17
- B. 30
- C. 48
- D. 72
Correct Answer: D
Explanation:
D Use MADSPM to simplify the exponents in the equations first. When raising a power to a power, multiply the exponents together. For the first equation, (x3)3 = x3×3 = x9, so a = 9. When dividing by the same base, subtract the exponents. For the second equation, = y10-2 = y8, so b = 8. The question asks to find a × b, so 9 × 8 = 72. The correct answer is (D).