Advanced MathEasy–MediumExponent rules
Advanced Math practice question
Which expression is equivalent to (2x³)(3x⁴)?
- A. 5x⁷
- B. 6x⁷Correct
- C. 6x¹²
- 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.
More Advanced Math questions
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What are the solutions to the equation 2(x − 3)² − 32 = 0 ? - Easy–Medium
The function h is defined by h(x) = x² + kx + 9, where k is a constant. If h(3) = 0, what is the value of k ?
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