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\left(\sqrt{0.5}\right)^{4}
Use the rules of exponents to simplify the expression.
0.5^{\frac{1}{2}\times 4}
To raise a power to another power, multiply the exponents.
0.5^{2}
Multiply \frac{1}{2} times 4.
0.25
Raise 0.5 to the power 2.