The value of  \frac{243^{0.13}\times 343^{-0.2}}{243^{-0.07}\times 7^{0.25}\times 49^{0.075}} is

  • Option 1)

    \frac{3}{7}

  • Option 2)

    \frac{7}{3}

  • Option 3)

    \frac{5}{3}

  • Option 4)

    2\frac{2}{7}

  • Option 5)

    \frac{10}{7}

Answers (1)
R rishi raj

             243\rightarrow 3^{5}

343\rightarrow 7^{3}

49\rightarrow 7^{2}

Now \: acc.\: To \: question

\frac{\left ( 243^{0.13}*343^{-0.2} \right )}{\left ( 243^{-0.07}*7^{0.25}*49^{0.075} \right )}

(3^{5*(\frac{13}{100})}*3^{5*(\frac{7}{100})}/7^{(3*\frac{2}{10})}*7^{0.25}*7^{2*(\frac{75}{1000}) }

Base\: are \: same \: powers \: are \: added

3/7 is\: the \: answer

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