Question

12⁴×9³×4/6³×8²×2raise to the power 7​
see above photo i will mark as brainliest

Answer 1

12⁴×9³×4=60466176

6³×8²×2raise to the power 7=373248

60466176/373248

=162

Answer 2

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \red{ \: \: ANSWER \: \: } \mid}}}}}$

$\: \: \: \: \: \mathtt{\frac{12 {}^{4} \times 9 {}^{3} \times 4 }{6 {}^{3} \times 8 {}^{2} \times 2 } } \\ \\ \mathtt{= \frac{(4 \times 3) {}^{4} \times (3 {}^{2} ) {}^{3} \times (2) {}^{2} }{(2 \times 3) {}^{3} \times (2 {}^{3} ) {}^{2} \times 2} } \\ \\ \mathtt{= \frac{(4) {}^{4} \times (3) {}^{4} \times (3) {}^{6} \times (2) {}^{2} }{(2) {}^{3} \times (3) {}^{3} \times (2) {}^{6} \times 2 } }\\ \\ \mathtt{= \frac{(2{}^{2} ) {}^{4} \times (3) {}^{4} \times (3) {}^{6} \times (2) {}^{2} }{(2) {}^{3} \times (3) {}^{3} \times (2) {}^{6} \times 2} }\\ \\ \mathtt{ = \frac{(2 ) {}^{8} \times (3) {}^{4} \times (3) {}^{6} \times (2) {}^{2} }{(2) {}^{3} \times (3) {}^{3} \times (2) {}^{6} \times 2}} \\ \\ \mathtt{ = \frac{(2) {}^{8} \times (2) {}^{2} \times (3) {}^{4} \times (3) {}^{6} }{2 \times (2) {}^{3} \times (2) {}^{6} \times (3) {}^{3} }} \\ \\ \mathtt{= \frac{ \{(2) {}^{8 + 2} \} \times \{(3) {}^{4 + 6 } \}}{ \{(2) {}^{1 + 3 + 6 } \} \times (3) {}^{3} } } \\ \\ \mathtt{= \frac{ \cancel{(2) {}^{10} }\times (3 ){}^{10} }{ \cancel{(2) {}^{10} }\times (3) {}^{3} }} \\ \\ \mathtt{ = \frac{(3) {}^{10} }{(3) {}^{3} }} \\ \\ \mathtt{= 3 {}^{ 10 - 3} } \\ \\ \mathtt{= 3 {}^{7}} \\ \\ \mathtt{= 2187}$

$\underline{ \underline{ \mathcal{ \purple{ : \star : \: IDENTITIES \: \: \: USED \: : \star : }}}} \\ \\ \mathsf{1. \: (a \times b) {}^{m} = a {}^{m} \times b{}^{n} } \\ \\ \mathsf{2. \: (a {}^{m} ) {}^{n} = a {}^{mn} } \\ \\ \mathsf{3. \: a {}^{m} \times a {}^{n} = a {}^{ m+ n} } \\ \\ \mathsf{4. \: \frac{a {}^{m} }{a {}^{n} } = a {}^{m - n} }$