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SAT Exponents and Radicals Practice Flashcards

7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 SAT Exponents and Radicals Practice flashcards as text

  1. Which expression is equivalent to (x^4)^(1/2) × x^(−2)?

    Answer: 1

    (x⁴)^(1/2) = x² and x^(−2) = 1/x². Product = x² · x^(−2) = x⁰ = 1.

  2. The half-life of a radioactive element is 10 years. Starting with 640 grams, how many grams remain after 40 years?

    Answer: 40

    40 years = 4 half-lives. Remaining = 640 × (1/2)⁴ = 640/16 = 40 grams.

  3. Which of the following equals 2^50 × 4^25?

    Answer: 2^100

    4^25 = (2²)^25 = 2^50. So 2^50 × 2^50 = 2^100.

  4. Solve: √(3x + 1) = 4

    Answer: x = 5

    Square both sides: 3x + 1 = 16 → x = 5.

  5. What is the product (2√6)(3√10)?

    Answer: 12√15

    (2)(3)√(6×10) = 6√60 = 6·2√15 = 12√15.

  6. If x^(1/4) = 3, what is x?

    Answer: 81

    x^(1/4) = 3 → x = 3⁴ = 81.

  7. Simplify: (x³y⁻²)^(−2)

    Answer: y⁴/x⁶

    x^(3×−2) × y^(−2×−2) = x^(−6) × y⁴ = y⁴/x⁶.