Advanced MathMediumSimplifying a power of a product times a power
Advanced Math practice question
Which expression is equivalent to (2x)³ · x²?
- A. 8x⁵Correct
- B. 2x⁵
- C. 8x⁶
- D. 6x⁵
Answer: A. 8x⁵
(2x)³ = 8x³, and 8x³ · x² = 8x⁵.
Why the other answers are wrong
- B. 2x⁵
- 2x⁵ forgets to cube the 2.
- C. 8x⁶
- 8x⁶ multiplies the exponents 3 and 2 instead of adding them.
- D. 6x⁵
- 6x⁵ multiplies 2 by 3 instead of cubing 2.
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