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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 of the following is equivalent to x^(−3)?

    Answer: 1/x³

    A negative exponent means the reciprocal: x^(−3) = 1/x³.

  2. If 3^m = 81 and 3^n = 27, what is m − n?

    Answer: 1

    3^m = 3^4 → m = 4; 3^n = 3^3 → n = 3. m − n = 1.

  3. Rationalize the denominator: 6/√3

    Answer: 2√3

    6/√3 × (√3/√3) = 6√3/3 = 2√3.

  4. A quantity grows according to y = 500 × 2^(t/5). What is y when t = 15?

    Answer: 4,000

    y = 500 × 2^(15/5) = 500 × 2³ = 500 × 8 = 4,000.

  5. Simplify: (a²b⁻³)/(a⁻¹b²)

    Answer: a³/b⁵

    Subtract exponents: a^(2−(−1)) × b^(−3−2) = a³b^(−5) = a³/b⁵.

  6. What is the value of (1/4)^(−3/2)?

    Answer: 8

    (1/4)^(−3/2) = 4^(3/2) = (√4)³ = 2³ = 8.

  7. Simplify: √72 + √50 − √18

    Answer: 8√2

    √72 = 6√2, √50 = 5√2, √18 = 3√2. Sum = (6 + 5 − 3)√2 = 8√2.