ABC26GN0895 · Simplification
Subject: General Aptitude · Chapter: Simplification · 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)$\frac{7^{4}}{6^{8}}$
(d)$\frac{7^{6}}{6^{7}}$
(e)None of these
Answer
Explanation
Given $\exp .=\frac{7^{3} \times 7^{2}}{6^{3} \times 2^{4} \times 3^{4}}=\frac{7^{(3+2)}}{6^{3} \times(2 \times 3)^{4}}=\frac{7^{5}}{6^{3} \times 6^{4}}$ $$=\frac{7^{5}}{6^{(3+4)}}=\frac{7^{5}}{6^{7}} .$$
Explanation as extracted from the printed page; notation may be imperfect.
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