12
practice testMultiple Choice

Practice Test

Question 12 • Algebra I

Which function has a simplified base of 4 cube root of 4 ?

Answer
A
f of x is equal to 4 times open paren cube root of 16 close paren raised to the 2 x power
B
f of x is equal to 4 times open paren cube root of 64 close paren raised to the 2 x power
C
f of x is equal to 2 times open paren cube root of 64 close paren to the x th power
D
f of x is equal to 2 times open paren cube root of 16 close paren to the x th power

Explanation

In choice A, the part raised to x is the base [?]—rewrite (∛16)^(2x) as ((∛16)^2)^x. Since 16 = 2^4, (∛16)^2 = 16^(2/3) = 2^(8/3) = 4∛4. So choice A has the requested simplified base, 4∛4.

AI-written and checked against the verified answer.

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