Question

12⁴ x 9³ x 4 / 6³ x 8² x 27​

Answer 1

Answer:

162 is the answer of this question

Answer 2

$\bf\mapsto \: \frac{( {2}^{2} \times 3) ^{4} \times ( {3}^{2})^{3} \times {2}^{2} }{(2 \times 3) ^{3} \times ( {2}^{3})^{2} \times {3}^{3} }$

$\bf\mapsto \: \frac{( {2}^{2}) ^{4} \times (3) ^{4} \times {3}^{2 \times 3 \times {2}^{2} } }{ {2}^{3} \times {3}^{3} \times {2}^{2 \times 3 \times {3}^{3} } } = \frac{ {2}^{8} \times {2}^{2} \times {3}^{4} \times {3}^{6} }{ {2}^{3} \times {2}^{6} \times {3}^{3} \times {3}^{3} }$

$\bf\mapsto \: \frac{ {2}^{8 + 2} \times {3}^{4 + 6} }{ {2}^{3 + 6} \times {3}^{3 + 3} } = \frac{ {2}^{10} \times {3}^{10} }{ {2}^{9} \times {3}^{6} }$

$\bf\mapsto \: {2}^{10 - 9} \times {3}^{10 - 6} = {2}^{1} \times {3}^{4}$

$\bf\mapsto \: 2 \times 81 = 162$$\underline{Answer}$