Question

Simplify (8^2/3)^4

That is 8 with the exponent of two thirds in a parentheses with an exponent of 4 on the outside
A. 8^8/3
B.8^6/3
C.8^6/12

Answer 1

256
because you have to multiply the exponents then do 8^2 2/3 and simplify. So what I did was multiply the 2/3 and 4 to get 2 and 2/3 then did eight to the 2 and 2/3 to get my answer of 256

Answer 2

The correct option is (A)
`8^{ (8)/(3) }`

Step-by-step explanation:
Given expression:

`(8^{ (2)/(3) })^4`

`(8^{ (2*4)/(3) }) \\ 8^{ (8)/(3) }`

Which is (Option A)


`8^{ (8)/(3) }` = 256 =
`(8^{ (2)/(3) })^4` (Check)