Advanced MathEasy–MediumExponent from a product of powers
Advanced Math practice question
For x > 0, the expression x² · (x³)² is equal to xⁿ, where n is a constant. What is the value of n?
Answer: 8
(x³)² = x⁶, and x² · x⁶ = x⁸, so n = 8.
Common wrong answers
- If you answered 7
- 7 adds 2 + 3 + 2 instead of multiplying 3 × 2 first.
- If you answered 10
- 10 computes (x⁵)², combining before squaring.
- If you answered 12
- 12 multiplies all three exponents together.
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- Easy–Medium
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For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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