ପ૮{˶• ༝ •˶}აଓ [tex]{\color{purple}{\huge\bf{ \frac{ {3}^{56} + {3}^{56} + {3}^{56} }{ {9}^{12} } = .... Question from @nafirahmulya

August 2022 2 24 Report

ପ૮{˶• ༝ •˶}აଓ

[tex]{\color{purple}{\huge\bf{ \frac{ {3}^{56} + {3}^{56} + {3}^{56} }{ {9}^{12} } = .....?}}}[/tex]

☼☼☼☼☼☼☼☼☼☼☼☼☼☼☼☼☼☼☼

Cruxyz

Jawaban:

$\sf{3}^{33}$

Penjelasan dengan langkah-langkah:

$\sf\large\frac{{3}^{56}+{3}^{56}+{3}^{56}}{{9}^{12}}$

$\sf\large=\frac{(1+1+1){3}^{56}}{{({3}^{2})}^{12}}$

$\sf\large=\frac{(3){3}^{56}}{{3}^{2\times12}}$

$\sf\large=\frac{{3}^{56+1}}{{3}^{24}}$

$\sf\large=\frac{{3}^{57}}{{3}^{24}}$

$\sf={3}^{57-24}$

$\sf={3}^{33}$

2 votes Thanks 2

ArtX1

$\tt \sf \frac{{3}^{56} + {3}^{56} + {3}^{56}}{9^{12}}$

$\tt \sf \frac{3(3^{56})}{9^{12}}$

$\tt \sf \frac{3(3^{56})}{3^{2×12}}$

$\tt \sf \frac{3^{1+56}}{3^{2×12}}$

$\tt \sf \frac{3^{57}}{3^{2×12}}$

$\tt \sf \frac{3^{57}}{3^{24}}$

$\tt \sf 3^{57-24}$

$\bold{\underline{\green{\tt \sf 3^{33}}}}$

3 votes Thanks 4

" Life is not a problem to be solved but a reality to be experienced! "