SSAT Math Question 229: Answer and Explanation
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Question: 229
3. Simplify the variable expression:
- A. 4x3y–3
- B. 2x3y–3
- C. x3y–3
- D. y–3
Correct Answer: B
Explanation:
The answer is B
Start with the numerator. The power applies to all terms within the parentheses. Deal with the number first: 23 = 8. When exponential expressions are raised to a power, multiply the exponents. Thus, (x3)3 = x9, and (y2)3 = y6. Now address the denominator, starting with the numbers: = 2. When exponential expressions with the same base are divided, subtract the exponents:
= x9-6 = x3, and
= y6-9 =