16Hit1600
Advanced MathVery hardAdding fractional exponents

Advanced Math practice question

If x > 0 and x^(1/2) · x^(1/3) = xⁿ, what is the value of n?

Answer: 5/6

Multiplying powers adds the exponents: 1/2 + 1/3 = 5/6.

Common wrong answers

If you answered 1/6
1/6 multiplies the exponents.
If you answered 1/5
1/5 adds numerators and denominators separately.
If you answered 2/5
2/5 adds numerators and denominators separately.

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