Subjects algebra

Power Fourth Root

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Power Fourth Root


1. The problem is to find the value of $16^{0.25}$. 2. Recall that raising a number to the power 0.25 is the same as taking the fourth root of that number because $0.25 = \frac{1}{4}$. 3. We can rewrite $16^{0.25}$ as $\sqrt[4]{16}$. 4. Now, find the fourth root of 16. Since $16 = 2^4$, we have: $$\sqrt[4]{16} = \sqrt[4]{2^4} = 2$$ 5. Therefore, the final answer is $16^{0.25} = 2$.