Question

Simlpify and write exponential form

Answer 1

this answer may help you...

Answer 2

Hey friend,
Here is the answer you were looking for:
$\frac{ {12}^{4} \times {9}^{3} \times 4 }{ {6}^{3} \times {8}^{2} \times 27 } \\ \\ expanding \\ we \: get \\ \\ = \frac{ {2}^{4} \times {2}^{4} \times {3}^{4} \times {3}^{3} \times {3}^{3} \times {2}^{2} }{ {2}^{3} \times {3}^{3} \times {2}^{2} \times {2}^{2} \times {2}^{2} \times {3}^{3} } \\ \\ by \: using \: the \: identity \\ {a}^{m} \times {a}^{n} = {a}^{m - n} \\ we \: get \\ \\ = \frac{ {2}^{4 + 4 + 2} \times {3}^{4 + 3 + 3} }{ {2}^{3 + 2 + 2 + 2} \times {3}^{3 +3 } } \\ \\ = \frac{ {2}^{10} \times {3}^{10} }{ {2}^{9} \times {3}^{6} } \\ \\ by \: usin g\: the \: identity \\ \\ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} \\ \\ = {2}^{10 - 9} \times {3}^{10 - 6} \\ \\ = {2}^{1} \times {3}^{4} \\ \\ = 2 \times {3}^{4} \\ \\ 162$


Hope this helps!!!

@Mahak24

Thanks...
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