16Hit1600
Advanced MathVery hardCombining fractional powers from a known cube root

Advanced Math practice question

For x > 0, if x^(1/3) = 2, what is the value of x^(2/3) + x^(4/3)?

Answer: 20

x^(2/3) = (x^(1/3))² = 4 and x^(4/3) = (x^(1/3))⁴ = 16, so the sum is 20.

Common wrong answers

If you answered 6
6 adds 2 + 4, using x^(1/3) and x^(2/3) instead of the two powers asked for.
If you answered 12
12 comes from x^(4/3) = 8 (cubing instead of raising to the fourth).
If you answered 24
24 is 8 + 16, using x = 8 for x^(2/3).

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