16Hit1600
Advanced MathEasy–MediumExponent rules

Advanced Math practice question

Which expression is equivalent to (2x³)(3x⁴)?

  1. A. 5x⁷
  2. B. 6x⁷Correct
  3. C. 6x¹²
  4. D. 5x¹²

Answer: B. 6x⁷

Multiply the coefficients (2 × 3 = 6) and add the exponents on like bases (x³ · x⁴ = x⁷). Result: 6x⁷. Multiplying exponents (choice C) is the common error.

Why the other answers are wrong

A. 5x⁷
You added the coefficients (2 + 3 = 5) instead of multiplying them; the exponent 7 is right, but 2 × 3 = 6.
C. 6x¹²
You multiplied the exponents (3 × 4 = 12) instead of adding them. When multiplying like bases, x³ · x⁴ = x^(3+4) = x⁷.
D. 5x¹²
You added the coefficients (2 + 3) and multiplied the exponents (3 × 4). Both rules are flipped: multiply coefficients, add exponents, giving 6x⁷.

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