Respuesta :
falso:
[tex](109 {)}^{8} = 10 {9}^{56} \\ 8 = 56[/tex]
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[tex](109 {)}^{8} - (109 {)}^{56} = 10 {9}^{8} \times (1 - {109}^{48} )[/tex]
...
[tex](109 {)}^{8} + (109 {)}^{56} = {109}^{8} \times (1 + {109}^{48} )[/tex]
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[tex](109 {)}^{8} \times (109 {)}^{56} = {109}^{8 + 56} = {109}^{64} [/tex]
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[tex](109 {)}^{8} \div (109 {)}^{56} = {109}^{ - 48} = \frac{1}{ {109}^{48} } [/tex]
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Respuesta:
[tex] \tt \color{blue}{ \: \: \: \: \: \: \: \: \: \: \: \: (109) {}^{8} = 109 {}^{56} }[/tex]
[tex] \tt \textcolor{green}{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Resultado:}[/tex]
[tex] \tt \color{skyblue}{(109) {}^{8} \div (109) {}^{56} = 109 {}^{ - 48} = \frac{1}{109 {}^{48} } }[/tex]