Advanced MathMediumFractional power from a known square root
Advanced Math practice question
If x^(1/2) = 3, what is the value of x^(3/2)?
Answer: 27
x^(3/2) = (x^(1/2))³ = 3³ = 27. (Equivalently, x = 9 and 9^(3/2) = 27.)
Common wrong answers
- If you answered 9
- 9 is x itself.
- If you answered 81
- 81 is x², a slip in the exponent.
- If you answered 4.5
- 4.5 is 3 × 3/2, multiplying instead of raising to a power.
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