Question

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

• A. $\frac{7^5}{6^7}$
• B. $\frac{7^5}{6^8}$
• C. $\frac{7^6}{6^7}$
• D. $\frac{7^4}{6^8}$
• E. $Noneofthese$

Answer 1

The correct option is A $\frac{7^5}{6^7}$

$Here,\frac{7^3\times 7^2}{6^3\times 4^2\times 962}\left[\begin{array}{c}\because 343=7^3,49=7^2\\ 216=663,16=4^2,81=9^2\end{array}\right]\Rightarrow \frac{7^5}{6^3\times (4\times 9{)}^2}=\frac{7^5}{6^3\times (6{)}^4}=\frac{7^5}{6^3\times 664}=\frac{7^5}{6^7}$