Evaluate square root of (-2)^4

Problem

√(,(−2)4)

Solution

1. Evaluate the expression inside the parentheses by raising −2 to the fourth power.

(−2)4=(−2)⋅(−2)⋅(−2)⋅(−2)

2. Simplify the result of the exponentiation, noting that a negative number raised to an even power results in a positive value.

(−2)4=16

3. Substitute the value back into the square root expression.

√(,16)

4. Calculate the principal square root of 16

√(,16)=4

Final Answer

√(,(−2)4)=4

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