Practice Test GeeksBluebook SAT Practice Test
← All Bluebook SAT Test Flashcard Decks

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 of the following equals 3^(x+2)?

    Answer: 9 × 3^x

    3^(x+2) = 3^x × 3² = 9 × 3^x.

  2. Simplify ∛54 in simplest radical form.

    Answer: 3∛2

    ∛54 = ∛(27 × 2) = 3∛2.

  3. What is the value of x if √(x + 9) − √x = 1?

    Answer: 16

    Isolate: √(x+9) = √x + 1. Square: x + 9 = x + 2√x + 1 → 8 = 2√x → √x = 4 → x = 16.

  4. Simplify: (x²/y)³ ÷ (x/y²)²

    Answer: x⁴y

    (x²/y)³ = x⁶/y³ and (x/y²)² = x²/y⁴. Dividing: x⁶/y³ ÷ x²/y⁴ = x⁴y.

  5. Which of the following equals 5^(1/2) × 20^(1/2)?

    Answer: 10

    (5 × 20)^(1/2) = 100^(1/2) = 10.

  6. Determine the value of (−32)^(3/5).

    Answer: −8

    (−32)^(3/5) = (⁵√(−32))³ = (−2)³ = −8.

  7. Simplify: (a²b⁻¹)^3 × (a⁻¹b²)^2

    Answer: a⁴b

    (a²b⁻¹)³ = a⁶b^(−3) and (a⁻¹b²)² = a^(−2)b⁴. Product = a^(6−2)b^(−3+4) = a⁴b.