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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. What is (2.5 × 10⁸) ÷ (5.0 × 10³) in scientific notation?

    Answer: 5.0 × 10⁴

    (2.5 ÷ 5.0) × 10^(8−3) = 0.5 × 10⁵ = 5.0 × 10⁴.

  2. If f(x) = x^(2/3) and f(k) = 4, what is k?

    Answer: 8

    k^(2/3) = 4 → k = 4^(3/2) = (√4)³ = 8.

  3. Which is greater: 2^30 or 3^20?

    Answer: 3^20

    2^30 = (2³)^10 = 8^10 and 3^20 = (3²)^10 = 9^10. Since 9 > 8, we have 3^20 > 2^30.

  4. Simplify √(x² + 6x + 9) for x ≥ 0.

    Answer: x + 3

    x² + 6x + 9 = (x+3)². For x ≥ 0, x+3 > 0, so √((x+3)²) = x+3.

  5. What is the simplified form of (27/8)^(2/3)?

    Answer: 9/4

    (27/8)^(2/3) = (∛(27/8))² = (3/2)² = 9/4.

  6. Solve: 2^(3x−1) = 16

    Answer: x = 5/3

    16 = 2⁴, so 3x − 1 = 4 → x = 5/3.

  7. Which of the following is equivalent to x^(3/4) ÷ x^(1/4)?

    Answer: x^(1/2)

    x^(3/4 − 1/4) = x^(2/4) = x^(1/2).