Evaluate square root of (-3)^4

Problem

√(,(−3)4)

Solution

1. Evaluate the exponent inside the square root by calculating (−3)4

(−3)4=(−3)⋅(−3)⋅(−3)⋅(−3)

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

(−3)4=81

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

√(,81)

4. Calculate the principal square root of the positive integer.

√(,81)=9

Final Answer

√(,(−3)4)=9

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