(?)2342=5(?)13(?)2342=5(?)13\frac{{{{\left( ? \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( ? \right)}^{\frac{1}{3}}}}}" /> (?)2342=5(?)13(?)2342=5(?)13\frac{{{{\left( ? \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( ? \right)}^{\frac{1}{3}}}}}" /> (?)2342=5(?)13(?)2342=5(?)13\frac{{{{\left( ? \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( ? \right)}^{\frac{1}{3}}}}}" />

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What will come in place of both the question marks in the following question $\frac{{(?)}^{\frac{2}{3}}}{42} = \frac{5}{{(?)}^{\frac{1}{3}}}$ $\frac{{{{\left( ? \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( ? \right)}^{\frac{1}{3}}}}}$

110
210√2
3√20
4210

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let \frac{{(x)}^{\frac{2}{3}}}{42} = \frac{5}{{(x)}^{\frac{1}{3}}} \\ Then, \\ x^{\frac{2}{3}} . x^{\frac{1}{3}} = 42 \times 5 \\ = 210 \\ \Rightarrow x^{(\frac{2}{3} + \frac{1}{3})} = 210 \\ \Rightarrow x = 210 \end{aligned}

$\eqalign{ & {\text{Let }}\frac{{{{\left( x \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( x \right)}^{\frac{1}{3}}}}} \cr & {\text{Then,}} \cr & {x^{\frac{2}{3}}}.{x^{\frac{1}{3}}} = 42 \times 5 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 210 \cr & \Rightarrow {x^{\left( {\frac{2}{3} + \frac{1}{3}} \right)}} = 210 \cr & \Rightarrow x = 210 \cr}$

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", "text": "What will come in place of both the question marks in the following question

\frac{{(?)}^{\frac{2}{3}}}{42} = \frac{5}{{(?)}^{\frac{1}{3}}}

$\frac{{{{\left( ? \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( ? \right)}^{\frac{1}{3}}}}}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Let \frac{{(x)}^{\frac{2}{3}}}{42} = \frac{5}{{(x)}^{\frac{1}{3}}} \\ Then, \\ x^{\frac{2}{3}} . x^{\frac{1}{3}} = 42 \times 5 \\ = 210 \\ \Rightarrow x^{(\frac{2}{3} + \frac{1}{3})} = 210 \\ \Rightarrow x = 210 \end{aligned}

$\eqalign{ & {\text{Let }}\frac{{{{\left( x \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( x \right)}^{\frac{1}{3}}}}} \cr & {\text{Then,}} \cr & {x^{\frac{2}{3}}}.{x^{\frac{1}{3}}} = 42 \times 5 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 210 \cr & \Rightarrow {x^{\left( {\frac{2}{3} + \frac{1}{3}} \right)}} = 210 \cr & \Rightarrow x = 210 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Let \frac{{(x)}^{\frac{2}{3}}}{42} = \frac{5}{{(x)}^{\frac{1}{3}}} \\ Then, \\ x^{\frac{2}{3}} . x^{\frac{1}{3}} = 42 \times 5 \\ = 210 \\ \Rightarrow x^{(\frac{2}{3} + \frac{1}{3})} = 210 \\ \Rightarrow x = 210 \end{aligned}

$\eqalign{ & {\text{Let }}\frac{{{{\left( x \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( x \right)}^{\frac{1}{3}}}}} \cr & {\text{Then,}} \cr & {x^{\frac{2}{3}}}.{x^{\frac{1}{3}}} = 42 \times 5 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 210 \cr & \Rightarrow {x^{\left( {\frac{2}{3} + \frac{1}{3}} \right)}} = 210 \cr & \Rightarrow x = 210 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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