Resposta :
[tex](\sqrt[3]5\cdot\sqrt[3]2)^x=100 \\
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(\sqrt[3]{10})^x=10^2 \\
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10^{\frac{x}{3}}=10^2 \rightarrow \frac{x}{3}=2 \\
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\boxed{x=6}
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(\frac{8}{125})^x=\frac{16}{625} \\
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(\frac{2}{5})^{3x}=(\frac{2}{5})^4 \rightarrow 3x=4 \\
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\boxed{x=\frac{4}{3}}[/tex]