Explanation:
an eager desire to learn
: an eager desire to learn and often to learn what does not concern one : inquisitiveness. : something strange or unusual. the curiosities of nature.
[tex] \frac{ { (\frac{125}{5} )}^{4} }{ \frac{36}{6} {}^{n} } = ( \frac{5}{6} ) {}^{8} \\ \\ \frac{( {5)}^{4} }{( {6)}^{n} } = \frac{5 {}^{8} }{6 {}^{8} } \\ \\ {5}^{(8 - 4)} = 6 {}^{8n} \\ \\ {5}^{4} = 6 {}^{8n} \\ \\ 8n = \frac{ {5}^{4} }{6} \\ \\ 8n = \frac{625}{4} \\ \\ 8n = 156.25 \\ \\ n = \frac{156.25}{8} \\ \\ n = 19.53[/tex]
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Answers & Comments
Explanation:
an eager desire to learn
: an eager desire to learn and often to learn what does not concern one : inquisitiveness. : something strange or unusual. the curiosities of nature.
Verified answer
[tex] \frac{ { (\frac{125}{5} )}^{4} }{ \frac{36}{6} {}^{n} } = ( \frac{5}{6} ) {}^{8} \\ \\ \frac{( {5)}^{4} }{( {6)}^{n} } = \frac{5 {}^{8} }{6 {}^{8} } \\ \\ {5}^{(8 - 4)} = 6 {}^{8n} \\ \\ {5}^{4} = 6 {}^{8n} \\ \\ 8n = \frac{ {5}^{4} }{6} \\ \\ 8n = \frac{625}{4} \\ \\ 8n = 156.25 \\ \\ n = \frac{156.25}{8} \\ \\ n = 19.53[/tex]