Question

Each option below lists three expressions. Which option lists expressions that are not equivalent?

A) 81^3/4 ; 27 ; ^4square root of81^3


B) 8 ; ^4square root of16^3 ; 16^.75


C) (625^.25)^3 ; (625^3)^1/4 ; 125


D) 256 ; 1,296^3/4 ; ^4square root of1,296^3

Answer 1

The following expressions are equivalent:
81 ^ 3/4; 27; ^ 4square root of81 ^ 3
8; ^ 4square root of16 ^ 3; 16 ^ .75
(625 ^ .25) ^ 3; (625 ^ 3) ^ 1/4; 125
The expression that is NOT equivalent is:
256; 1,296 ^ 3/4; ^ 4square root of1,296 ^ 3
Because:
1,296 ^ 3/4 = 216
Answer:
An option that lists expressions that are not equivalent is:
D) 256; 1,296 ^ 3/4; ^ 4square root of1,296 ^ 3