636215:636215:\frac{{{6^{36}}}}{{215}}:" /> 636215:636215:\frac{{{6^{36}}}}{{215}}:" /> 636215:636215:\frac{{{6^{36}}}}{{215}}:" />

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The remainder of $\frac{6^{36}}{215} :$ $\frac{{{6^{36}}}}{{215}}:$

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Answer:- 1

Explanation:-

Solution:

\begin{aligned} \frac{(6^{36})}{215}, can be written as \\ \frac{{(6^{3})}^{12}}{215} \\ O r, \frac{216^{12}}{215}, [216 on divided by 215, gives remainder 1] \\ \frac{1^{12}}{215} \\ The remainder will be 1 \end{aligned}

$\eqalign{ & \frac{{\left( {{6^{36}}} \right)}}{{215}},\,{\text{can}}\,{\text{be}}\,{\text{written}}\,{\text{as}} \cr & \frac{{{{\left( {{6^3}} \right)}^{12}}}}{{215}} \cr & Or,\,\frac{{{{216}^{12}}}}{{215}},\,[216\,{\text{on}}\,{\text{divided}}\,{\text{by}}\,215,\,{\text{gives}}\,{\text{remainder}}\,1] \cr & \frac{{{1^{12}}}}{{215}} \cr & {\text{The}}\,{\text{remainder}}\,{\text{will}}\,{\text{be}}\,1 \cr}$

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", "text": "The remainder of

\frac{6^{36}}{215} :

$\frac{{{6^{36}}}}{{215}}:$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} \frac{(6^{36})}{215}, can be written as \\ \frac{{(6^{3})}^{12}}{215} \\ O r, \frac{216^{12}}{215}, [216 on divided by 215, gives remainder 1] \\ \frac{1^{12}}{215} \\ The remainder will be 1 \end{aligned}

$\eqalign{ & \frac{{\left( {{6^{36}}} \right)}}{{215}},\,{\text{can}}\,{\text{be}}\,{\text{written}}\,{\text{as}} \cr & \frac{{{{\left( {{6^3}} \right)}^{12}}}}{{215}} \cr & Or,\,\frac{{{{216}^{12}}}}{{215}},\,[216\,{\text{on}}\,{\text{divided}}\,{\text{by}}\,215,\,{\text{gives}}\,{\text{remainder}}\,1] \cr & \frac{{{1^{12}}}}{{215}} \cr & {\text{The}}\,{\text{remainder}}\,{\text{will}}\,{\text{be}}\,1 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} \frac{(6^{36})}{215}, can be written as \\ \frac{{(6^{3})}^{12}}{215} \\ O r, \frac{216^{12}}{215}, [216 on divided by 215, gives remainder 1] \\ \frac{1^{12}}{215} \\ The remainder will be 1 \end{aligned}

$\eqalign{ & \frac{{\left( {{6^{36}}} \right)}}{{215}},\,{\text{can}}\,{\text{be}}\,{\text{written}}\,{\text{as}} \cr & \frac{{{{\left( {{6^3}} \right)}^{12}}}}{{215}} \cr & Or,\,\frac{{{{216}^{12}}}}{{215}},\,[216\,{\text{on}}\,{\text{divided}}\,{\text{by}}\,215,\,{\text{gives}}\,{\text{remainder}}\,1] \cr & \frac{{{1^{12}}}}{{215}} \cr & {\text{The}}\,{\text{remainder}}\,{\text{will}}\,{\text{be}}\,1 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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