(315a5b6c3×59ab5c4)(315a5b6c3×59ab5c4)\left( {\frac{3}{{15}}{a^5}{b^6}{c^3} \times \frac{5}{9}a{b^5}{c^4}} \right) ÷ 1017a2bc3" role="presentation">1017a2bc31017a2bc3\frac{{10}}{{17}}{a^2}b{c^3}" /> (315a5b6c3×59ab5c4)(315a5b6c3×59ab5c4)\left( {\frac{3}{{15}}{a^5}{b^6}{c^3} \times \frac{5}{9}a{b^5}{c^4}} \right) ÷ 1017a2bc3" role="presentation">1017a2bc31017a2bc3\frac{{10}}{{17}}{a^2}b{c^3}" /> (315a5b6c3×59ab5c4)(315a5b6c3×59ab5c4)\left( {\frac{3}{{15}}{a^5}{b^6}{c^3} \times \frac{5}{9}a{b^5}{c^4}} \right) ÷ 1017a2bc3" role="presentation">1017a2bc31017a2bc3\frac{{10}}{{17}}{a^2}b{c^3}" />

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The simplified value of following is: $(\frac{3}{15} a^{5} b^{6} c^{3} \times \frac{5}{9} a b^{5} c^{4})$ $\left( {\frac{3}{{15}}{a^5}{b^6}{c^3} \times \frac{5}{9}a{b^5}{c^4}} \right)$ ÷ $\frac{10}{17} a^{2} b c^{3}$ $\frac{{10}}{{17}}{a^2}b{c^3}$

1 $\frac{3}{10} a b^{4} c^{3}$ $\frac{3}{{10}}a{b^4}{c^3}$
2 $\frac{9}{10} a^{2} b c^{4}$ $\frac{9}{{10}}{a^2}b{c^4}$
3 $\frac{9}{10} a^{2} b c^{4}$ $\frac{9}{{10}}{a^2}b{c^4}$
4 $\frac{1}{10} a^{4} b^{4} c^{10}$ $\frac{1}{{10}}{a^4}{b^4}{c^{10}}$

Answer:- 1

Explanation:-

Solution:

\begin{aligned} (\frac{3}{15} a^{5} b^{6} c^{3} \times \frac{5}{9} a b^{5} c^{4}) \div \frac{10}{27} a^{2} b c^{3} \\ \Rightarrow \frac{1}{9} a^{6} b^{11} c^{7} \div \frac{10}{27} a^{2} b c^{3} \\ \Rightarrow \frac{\frac{1}{9} a^{6} b^{11} c^{7}}{\frac{10}{27} a^{2} b c^{3}} \\ \Rightarrow \frac{3}{10} a^{4} b^{10} c^{4} \end{aligned}

$\eqalign{ & \left( {\frac{3}{{15}}{a^5}{b^6}{c^3} \times \frac{5}{9}a{b^5}{c^4}} \right) \div \frac{{10}}{{27}}{a^2}b{c^3} \cr & \Rightarrow \frac{1}{9}{a^6}{b^{11}}{c^7} \div \frac{{10}}{{27}}{a^2}b{c^3} \cr & \Rightarrow \frac{{\frac{1}{9}{a^6}{b^{11}}{c^7}}}{{\frac{{10}}{{27}}{a^2}b{c^3}}} \cr & \Rightarrow \frac{3}{{10}}{a^4}{b^{10}}{c^4} \cr}$

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\frac{10}{17} a^{2} b c^{3}

$\frac{{10}}{{17}}{a^2}b{c^3}$ ", "text": "The simplified value of following is:

(\frac{3}{15} a^{5} b^{6} c^{3} \times \frac{5}{9} a b^{5} c^{4})

$\left( {\frac{3}{{15}}{a^5}{b^6}{c^3} \times \frac{5}{9}a{b^5}{c^4}} \right)$ ÷

\frac{10}{17} a^{2} b c^{3}

$\frac{{10}}{{17}}{a^2}b{c^3}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} (\frac{3}{15} a^{5} b^{6} c^{3} \times \frac{5}{9} a b^{5} c^{4}) \div \frac{10}{27} a^{2} b c^{3} \\ \Rightarrow \frac{1}{9} a^{6} b^{11} c^{7} \div \frac{10}{27} a^{2} b c^{3} \\ \Rightarrow \frac{\frac{1}{9} a^{6} b^{11} c^{7}}{\frac{10}{27} a^{2} b c^{3}} \\ \Rightarrow \frac{3}{10} a^{4} b^{10} c^{4} \end{aligned}

$\eqalign{ & \left( {\frac{3}{{15}}{a^5}{b^6}{c^3} \times \frac{5}{9}a{b^5}{c^4}} \right) \div \frac{{10}}{{27}}{a^2}b{c^3} \cr & \Rightarrow \frac{1}{9}{a^6}{b^{11}}{c^7} \div \frac{{10}}{{27}}{a^2}b{c^3} \cr & \Rightarrow \frac{{\frac{1}{9}{a^6}{b^{11}}{c^7}}}{{\frac{{10}}{{27}}{a^2}b{c^3}}} \cr & \Rightarrow \frac{3}{{10}}{a^4}{b^{10}}{c^4} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} (\frac{3}{15} a^{5} b^{6} c^{3} \times \frac{5}{9} a b^{5} c^{4}) \div \frac{10}{27} a^{2} b c^{3} \\ \Rightarrow \frac{1}{9} a^{6} b^{11} c^{7} \div \frac{10}{27} a^{2} b c^{3} \\ \Rightarrow \frac{\frac{1}{9} a^{6} b^{11} c^{7}}{\frac{10}{27} a^{2} b c^{3}} \\ \Rightarrow \frac{3}{10} a^{4} b^{10} c^{4} \end{aligned}

$\eqalign{ & \left( {\frac{3}{{15}}{a^5}{b^6}{c^3} \times \frac{5}{9}a{b^5}{c^4}} \right) \div \frac{{10}}{{27}}{a^2}b{c^3} \cr & \Rightarrow \frac{1}{9}{a^6}{b^{11}}{c^7} \div \frac{{10}}{{27}}{a^2}b{c^3} \cr & \Rightarrow \frac{{\frac{1}{9}{a^6}{b^{11}}{c^7}}}{{\frac{{10}}{{27}}{a^2}b{c^3}}} \cr & \Rightarrow \frac{3}{{10}}{a^4}{b^{10}}{c^4} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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