Advanced Math practice question

Answer: A. x²

Same base, so add the exponents: 1/2 + 3/2 = 4/2 = 2. The product is x². (Equivalently, √x · x√x = x · x = x².)

Why the other answers are wrong

B. x^(3/4)

You multiplied the exponents: (1/2)(3/2) = 3/4. Multiplying powers of the same base ADDS the exponents.

C. x

x is x^1, which would come from 1/2 + 1/2. The second exponent is 3/2, not 1/2.

D. x⁴

You added the numerators, 1 + 3 = 4, and dropped the denominators. The exponents are halves: 1/2 + 3/2 = 2.

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