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Exponents and Radicals Flashcards

7 cards from real Algebra 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 Exponents and Radicals flashcards as text
  1. What is the value of 2⁵?

    Answer: 32

    2⁵ means 2 multiplied by itself 5 times: 2×2×2×2×2 = 32.

  2. Simplify: x³ · x⁴

    Answer: x⁷

    When multiplying powers with the same base, add the exponents: x³ · x⁴ = x^(3+4) = x⁷.

  3. What is the value of 5⁰?

    Answer: 1

    Any nonzero number raised to the power of 0 equals 1.

  4. Simplify: (x²)³

    Answer: x⁶

    When raising a power to a power, multiply the exponents: (x²)³ = x^(2×3) = x⁶.

  5. What is √144?

    Answer: 12

    12 × 12 = 144, so √144 = 12.

  6. Simplify: x⁶ ÷ x²

    Answer: x⁴

    When dividing powers with the same base, subtract the exponents: x⁶ ÷ x² = x^(6−2) = x⁴.

  7. What is the value of 3⁻²?

    Answer: 1/9

    A negative exponent means reciprocal: 3⁻² = 1/3² = 1/9.