So, simplifies to 16, it can be solved according to the process of simplification process
To simplify the expression (8^(2/3))^4, we follow the order of operations, which is to evaluate the exponent inside the parentheses first, and then raise the result to the power of 4.
Step 1: Evaluate the exponent inside the parentheses.
means taking the cube root of 8 raised to the power of 2. The cube root of 8 is 2, so we have:
= 2
Step 2: Raise the result to the power of 4.
Now, we have:
= 2 * 2 * 2 * 2 = 16
So, simplifies to 16.
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Answer:
Step-by-step explanation:
hello :
(8^2/3)^4 = ∛(8²) = ∛(4^3) = 4 because : 8² = 4^3 =64