16Hit1600
Advanced MathVery hardExponent rules with fractional and negative powers

Advanced Math practice question

For x > 0, the expression x^(3/2) · x^(1/2) ÷ x^(−1) is equal to xⁿ. What is the value of n?

Answer: 3

Multiplying adds exponents: 3/2 + 1/2 = 2. Dividing by x^(−1) subtracts −1, giving 2 + 1 = 3.

Common wrong answers

If you answered 1
1 subtracts 1 instead of subtracting −1.
If you answered 2
2 stops after the multiplication.
If you answered -2
−2 comes from dividing the exponents instead of subtracting.

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