Question

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Answer 1

Answer:

your answer

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Answer 2

Expression-

$= \frac{12 {}^{4} \times 9 {}^{3} \times 4}{6 {}^{3} \times 8 {}^{2} \times 27 }$

$= \frac{(2 \times 2 \times 3) {}^{4} \times (3 \times 3) {}^{4} \times {2}^{2} }{(2 \times 3) {}^{3} \times (2 \times 2 \times 2) {}^{2} \times {3}^{3} }$

$= \frac{ {3}^{4} \times {2}^{4} \times {2}^{4} \times {3}^{3} \times {3}^{3} \times {2}^{2} }{ {2}^{3} \times {3}^{3} \times {2}^{2} \times {2}^{2} \times {2 }^{2} \times {3}^{3} }$

$Using \: - \: {a}^{m} \times {a}^{n} = \: a {}^{m + n}$

$= \frac{ {2}^{10} \times {3}^{10} }{ {2}^{9} \times 3 {}^{6} }$

$Using \: - \: \frac{ {a}^{m} }{ {a}^{n} } = \: {a}^{m - n}$

$= {2}^{10 - 9} \times {3}^{10 - 6}$

$= {2}^{1} \times {3}^{4}$

$= 2 \times {3}^{4}$

Hope this will help u ❤️❤️