343×49216×16×81=?343×49216×16×81=?\frac{{343 \times 49}}{{216 \times 16 \times 81}} = ?" /> 343×49216×16×81=?343×49216×16×81=?\frac{{343 \times 49}}{{216 \times 16 \times 81}} = ?" /> 343×49216×16×81=?343×49216×16×81=?\frac{{343 \times 49}}{{216 \times 16 \times 81}} = ?" />

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$\frac{343 \times 49}{216 \times 16 \times 81} = ?$ $\frac{{343 \times 49}}{{216 \times 16 \times 81}} = ?$

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Answer:- 1

Explanation:-

Solution:

\begin{aligned} \frac{343 \times 49}{216 \times 16 \times 81} \\ = \frac{7^{3} \times 7^{2}}{6^{3} \times 2^{4} \times 3^{4}} \\ = \frac{7^{(3 + 2)}}{6^{3} \times {(2 \times 3)}^{4}} \\ = \frac{7^{5}}{6^{3} \times 6^{4}} \\ = \frac{7^{5}}{6^{(3 + 4)}} \\ = \frac{7^{5}}{6^{7}} \end{aligned}

$\eqalign{ & \frac{{343 \times 49}}{{216 \times 16 \times 81}} \cr & = \frac{{{7^3} \times {7^2}}}{{{6^3} \times {2^4} \times {3^4}}} \cr & = \frac{{{7^{\left( {3 + 2} \right)}}}}{{{6^3} \times {{\left( {2 \times 3} \right)}^4}}} \cr & = \frac{{{7^5}}}{{{6^3} \times {6^4}}} \cr & = \frac{{{7^5}}}{{{6^{\left( {3 + 4} \right)}}}} \cr & = \frac{{{7^5}}}{{{6^7}}} \cr}$

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", "text": "

\frac{343 \times 49}{216 \times 16 \times 81} = ?

$\frac{{343 \times 49}}{{216 \times 16 \times 81}} = ?$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution: