Advanced MathHardCombining a power and a square root
Advanced Math practice question
For x > 0, the expression x⁴ · √x can be written as xⁿ, where n is a constant. What is the value of n?
Answer: 4.5 or 9/2
√x = x^(1/2), so x⁴ · x^(1/2) = x^(9/2).
Common wrong answers
- If you answered 2
- 2 multiplies 4 by 1/2.
- If you answered 5
- 5 treats √x as x.
- If you answered 8
- 8 squares x⁴'s exponent, misreading the root.
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