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

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

Explanation:

Answer 2

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