16Hit1600
Advanced MathMediumSimplifying a power of a product times a power

Advanced Math practice question

Which expression is equivalent to (2x)³ · x²?

  1. A. 8x⁵Correct
  2. B. 2x⁵
  3. C. 8x⁶
  4. 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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