Evaluate (625/16)^1/4.Please answer correctly as soon as possible
1 answer:
Answer:

Step-by-step explanation:
![( \frac{625}{16} {)}^{ \frac{1}{4} } \\ \sqrt[4]{ \frac{625}{16} } = \frac{ \sqrt[4]{625} }{ \sqrt[4]{16} } \\ \frac{ \sqrt[4]{ {5}^{4} } }{ \sqrt[4]{16} } = \frac{ \sqrt[4]{ {5}^{4} } }{ \sqrt[4]{ {2}^{4} } } = \frac{5}{2}](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B625%7D%7B16%7D%20%20%7B%29%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%5C%5C%20%20%5Csqrt%5B4%5D%7B%20%5Cfrac%7B625%7D%7B16%7D%20%7D%20%20%3D%20%20%5Cfrac%7B%20%5Csqrt%5B4%5D%7B625%7D%20%7D%7B%20%5Csqrt%5B4%5D%7B16%7D%20%7D%20%20%20%5C%5C%20%20%5Cfrac%7B%20%5Csqrt%5B4%5D%7B%20%7B5%7D%5E%7B4%7D%20%7D%20%7D%7B%20%5Csqrt%5B4%5D%7B16%7D%20%7D%20%20%3D%20%20%5Cfrac%7B%20%5Csqrt%5B4%5D%7B%20%7B5%7D%5E%7B4%7D%20%7D%20%7D%7B%20%5Csqrt%5B4%5D%7B%20%7B2%7D%5E%7B4%7D%20%7D%20%7D%20%20%3D%20%20%5Cfrac%7B5%7D%7B2%7D%20)

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