Advanced MathEasy–MediumSquare root of an even power
Advanced Math practice question
For x > 0, which expression is equivalent to √(x⁶)?
- A. x³Correct
- B. x⁴
- C. x²
- D. x¹²
Answer: A. x³
A square root halves the exponent: √(x⁶) = x^(6/2) = x³. Check with x = 2: √64 = 8 = 2³.
Why the other answers are wrong
- B. x⁴
- x⁴ would be √(x⁸).
- C. x²
- x² would be √(x⁴), or the cube root of x⁶.
- D. x¹²
- x¹² DOUBLES the exponent, which is squaring, not taking a root.
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