Evaluate fourth root of (-4)^4
Problem
Solution
Evaluate the expression inside the parentheses by raising
−4 to the fourth power.
Simplify the product, noting that a negative number raised to an even power results in a positive value.
Substitute the result back into the radical expression.
Calculate the principal fourth root of
256 which is the positive number that, when multiplied by itself four times, equals256
Conclude that the fourth root of
256 is4
Final Answer
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