Задача Задача №2622829
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To simplify the expression \( ⁴\sqrt{4} \times ⁴\sqrt{4} \):
First, let's evaluate \( ⁴\sqrt{4} \):
\[ ⁴\sqrt{4} = 4^{1/4} = 4^{0.25} = (2^2)^{0.25} = 2^{2 \times 0.25} = 2^{0.5} = \sqrt{2} \]
Now, substituting back into the original expression:
\[ ⁴\sqrt{4} \times ⁴\sqrt{4} = \sqrt{2} \times \sqrt{2} = 2 \]
Therefore, \( ⁴\sqrt{4} \times ⁴\sqrt{4} = 2 \).