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What will come in place of both the question marks in the following question : $$\frac{{{{\left( ? \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( ? \right)}^{\frac{1}{3}}}}}$$
Answer & Solution
Correct Answer:
Option
E
$$\eqalign{
& {\text{Let }}\frac{{{{\left( x \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( x \right)}^{\frac{1}{3}}}}} \cr
& {\text{Then,}} \cr
& {x^{\frac{2}{3}}}.{x^{\frac{1}{3}}} = 42 \times 5 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 210 \cr
& \Rightarrow {x^{\left( {\frac{2}{3} + \frac{1}{3}} \right)}} = 210 \cr
& \Rightarrow x = 210 \cr} $$
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