(343 49)/(216 16 81)= ? · ABC26GN1897
Subject: General Aptitude · Chapter: Surds and Indices · Exam: 2010 · Marks: · Difficulty:
$\frac{343 \times 49}{216 \times 16 \times 81}=$ ?
(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)None of these
Answer
Explanation
$$\begin{aligned} \frac{343 \times 49}{216 \times 16 \times 81} & =\frac{7^{3} \times 7^{2}}{6^{3} \times 2^{4} \times 3^{4}}=\frac{7^{(3+2)}}{6^{3} \times(2 \times 3)^{4}} \\ & =\frac{7^{5}}{6^{3} \times 6^{4}}=\frac{7^{5}}{6^{(3+4)}}=\frac{7^{5}}{6^{7}} \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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