Jawaban:
65/63
Penjelasan dengan langkah-langkah:
[tex] \frac{ {2}^{3} + {2}^{ - 3} }{ {2}^{3} - {2}^{ - 3} } [/tex]
[tex] = \frac{ {2}^{3}(1 + {2}^{ - 6} )}{ {2}^{3}(1 - \: {2}^{ - 6} ) } [/tex]
[tex] = \frac{ \frac{ {2}^{6} }{ {2}^{6} } + \frac{1}{ {2}^{6} } }{ \frac{ {2}^{6} }{ {2}^{6} } - \frac{1}{ {2}^{6} } } [/tex]
[tex] = \frac{ \frac{ {2}^{6} + 1 }{ {2}^{6} } }{ \frac{ {2}^{6} - 1}{ {2}^{6} } } [/tex]
[tex] = \frac{ {2}^{6} + 1 }{ {2}^{6} - 1 } [/tex]
[tex] = \frac{64 + 1}{64 - 1} [/tex]
[tex] = \frac{65}{63} [/tex]
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Jawaban:
65/63
Penjelasan dengan langkah-langkah:
[tex] \frac{ {2}^{3} + {2}^{ - 3} }{ {2}^{3} - {2}^{ - 3} } [/tex]
[tex] = \frac{ {2}^{3}(1 + {2}^{ - 6} )}{ {2}^{3}(1 - \: {2}^{ - 6} ) } [/tex]
[tex] = \frac{ \frac{ {2}^{6} }{ {2}^{6} } + \frac{1}{ {2}^{6} } }{ \frac{ {2}^{6} }{ {2}^{6} } - \frac{1}{ {2}^{6} } } [/tex]
[tex] = \frac{ \frac{ {2}^{6} + 1 }{ {2}^{6} } }{ \frac{ {2}^{6} - 1}{ {2}^{6} } } [/tex]
[tex] = \frac{ {2}^{6} + 1 }{ {2}^{6} - 1 } [/tex]
[tex] = \frac{64 + 1}{64 - 1} [/tex]
[tex] = \frac{65}{63} [/tex]