Explanation:
Simplify: [(8)^2/3]^4
(a) 8^8/3
(b) 8^6/3
(c) 8^6/12
Solution:
[(8)^2/3]^4
use the rules of exponents to simplify the expression.
=> [(8)^2/3]^4
To raise a power to another power multiply the exponents.
=> (8)^2/3 × 4
Multiply 2/3 times 4.
=> (8)^8/3
Option (c) (8)^8/3 is your correct answer.
Another method:
Given,
[(8)^2/3]^4
=> [(8^3)^2/3]^4
=> [(2)^3×2/3]^4
=> [(2)^2]^4
=> (2)^2×4
=> (2)^8
=> 2^8
=> 2×2×2×2×2×2×2×2
=> 256 Ans.
Hope this helps!!