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First one is 8; By getting the fourth root of 16, you can simplify the formula 16³/4 by cubing the result. Since 2³ = 8 may be obtained by cubing the result, the fourth root of 16 is 2. Therefore, 16/4 = 8. 24 = 16.
For the second question, It is easy to simplify the formula (256x¹6)¹/4 by taking the fourth roots of ¹6 and 256 independently. 44 = 256, so then 4 is the fourth root of 256. Because (x4)4 = x¹6, x4 is the fourth root of x¹6. Thus 1/4 (256x³6) = 4x4. Thus 4x4 is the equivalent expression.
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