41
QuizMultiple Choice

N/A — Exam

Question 41 • Mathematics II

Which expressions are equivalent to cube root of 128 to the x th power ? Choose three correct answers.

Answer
A
128 raised to the 3 over x power
B
128 raised to the x over 3 power
C
open paren 4 times open paren 2 raised to the 1 third power close paren close paren to the x th power
D
open paren 4 cube root of 2 close paren to the x th power
E
open paren 2 cube root of 4 close paren to the x th power

Explanation

The cube root of 128 raised to the x power is (128^(1/3))^x, which equals 128^(x/3), so B is equivalent. Since 128 = 64 × 2, its cube root is 4∛2, making both C and D equivalent. A uses the exponent 3/x instead of x/3, and 2∛4 in E is not equal to ∛128.

AI-written and checked against the verified answer.

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