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

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