39
QuizMultiple Choice

N/A — Exam

Question 39 • Algebra II

Which expression is equivalent to open paren 2 raised to the 1 half power times 2 raised to the 3 fourths power close paren squared ?

Answer
A
4th root of 4 cubed
B
square root of 2 to the 5th power end root
C
square root of 4 to the 5th power end root
D
4th root of 2 cubed

Explanation

When multiplying powers with the same base, add the exponents: 2^(1/2) × 2^(3/4) = 2^(5/4). Squaring doubles the exponent, so (2^(5/4))^2 = 2^(5/2), which is the square root of 2^5. Therefore, the equivalent expression is choice D.

AI-written and checked against the verified answer.

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