Evaluate (5^4)^(1/2)

Problem

(5^4)^(1/2)

Solution

1. Apply the power of a power rule, which states that (a^m)^n=a^(m⋅n)

2. Multiply the exponents by calculating 4⋅1/2

4⋅1/2=2

3. Rewrite the expression using the new exponent.

5^2

4. Evaluate the power by multiplying the base by itself.

5⋅5=25

Final Answer

(5^4)^(1/2)=25

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