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Oi Cecilia . Esse foi o mais passo a passo que pude fazer:
![0,16^x> \sqrt[5]{15,625} \\ \\ (\frac{16}{100})^x> \sqrt[5]{ \frac{15625}{1000} } \\ \\ (\frac{4}{25})^x> \sqrt[5]{\frac{125}{8}} \\ \\ (\frac{2^2}{5^2})^x> \sqrt[5]{\frac{5^3}{2^3}} \\ \\ (\frac{2}{5})^{2x}> \sqrt[5]{ (\frac{5}{2})^3} \\ \\ (\frac{5}{2})^{-2x}>(\frac{5}{2})^{ \frac{3}{5} } \\ \\ -2x> \frac{3}{5} \\ \\ 2x< -\frac{3}{5} \\ \\ x< -\frac{3}{5} \frac{1}{2} \\ \\ x<- \frac{3}{10} \ ou \ -0,3](https://tex.z-dn.net/?f=0%2C16%5Ex%26gt%3B+%5Csqrt%5B5%5D%7B15%2C625%7D++%5C%5C++%5C%5C++%28%5Cfrac%7B16%7D%7B100%7D%29%5Ex%26gt%3B+%5Csqrt%5B5%5D%7B+%5Cfrac%7B15625%7D%7B1000%7D+%7D+++%5C%5C++%5C%5C++%28%5Cfrac%7B4%7D%7B25%7D%29%5Ex%26gt%3B+%5Csqrt%5B5%5D%7B%5Cfrac%7B125%7D%7B8%7D%7D+++%5C%5C++%5C%5C++%28%5Cfrac%7B2%5E2%7D%7B5%5E2%7D%29%5Ex%26gt%3B+%5Csqrt%5B5%5D%7B%5Cfrac%7B5%5E3%7D%7B2%5E3%7D%7D+%5C%5C++%5C%5C++%28%5Cfrac%7B2%7D%7B5%7D%29%5E%7B2x%7D%26gt%3B+%5Csqrt%5B5%5D%7B+%28%5Cfrac%7B5%7D%7B2%7D%29%5E3%7D++%5C%5C++%5C%5C++%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7B-2x%7D%26gt%3B%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7B+%5Cfrac%7B3%7D%7B5%7D+%7D+%5C%5C++%5C%5C+-2x%26gt%3B+%5Cfrac%7B3%7D%7B5%7D+%5C%5C++%5C%5C+2x%26lt%3B+-%5Cfrac%7B3%7D%7B5%7D+++%5C%5C++%5C%5C+x%26lt%3B+-%5Cfrac%7B3%7D%7B5%7D++%5Cfrac%7B1%7D%7B2%7D++%5C%5C++%5C%5C+x%26lt%3B-+%5Cfrac%7B3%7D%7B10%7D+%5C+ou+%5C+-0%2C3+ "0,16^x> \sqrt[5]{15,625} \\ \\ (\frac{16}{100})^x> \sqrt[5]{ \frac{15625}{1000} } \\ \\ (\frac{4}{25})^x> \sqrt[5]{\frac{125}{8}} \\ \\ (\frac{2^2}{5^2})^x> \sqrt[5]{\frac{5^3}{2^3}} \\ \\ (\frac{2}{5})^{2x}> \sqrt[5]{ (\frac{5}{2})^3} \\ \\ (\frac{5}{2})^{-2x}>(\frac{5}{2})^{ \frac{3}{5} } \\ \\ -2x> \frac{3}{5} \\ \\ 2x< -\frac{3}{5} \\ \\ x< -\frac{3}{5} \frac{1}{2} \\ \\ x<- \frac{3}{10} \ ou \ -0,3")
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