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

Simplify: √50
Answer: 5√2
√50 = √(25 × 2) = √25 · √2 = 5√2.
What is 4^(1/2)?
Answer: 2
4^(1/2) equals √4 = 2, since 2² = 4.
Simplify: √(x⁴), assuming x ≥ 0
Answer: x²
√(x⁴) = x^(4/2) = x².
Which expression is equivalent to ∛(x⁶)?
Answer: x²
∛(x⁶) = x^(6/3) = x².
Simplify: (2x²)³
Answer: 8x⁶
Apply the power to each factor: 2³ = 8 and (x²)³ = x⁶, giving 8x⁶.
What is √72 in simplified radical form?
Answer: 6√2
√72 = √(36 × 2) = √36 · √2 = 6√2.
What is 27^(1/3)?
Answer: 3
27^(1/3) is the cube root of 27; since 3³ = 27, the answer is 3.