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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

Respuesta :

carlosego
D) 256; 1,296 ^ 3/4; ^ 4square root of1,296 ^ 3
 Let's rewrite the expression step by step:
 1296 ^ 3/4
 (1296) ^ (3/4)
 (1296 ^ 3) ^ (1/4)
 (2176782336) ^ (1/4)
 216
 This result is different from 256.
 Answer:
 D) 256; 1,296 ^ 3/4; ^ 4square root of1,296 ^ 3

Answer:

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

 Let's rewrite the expression step by step:

 1296 ^ 3/4

 (1296) ^ (3/4)

 (1296 ^ 3) ^ (1/4)

 (2176782336) ^ (1/4)

 216

 This result is different from 256.

 Answer:

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

Step-by-step explanation:

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