Question

12^4×9^3×4÷6^3×8^2×27​

Answer 1

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\sf \bf \dfrac{{12}^{4} \times {9}^{3} \times 4}{{6}^{3} \times {8}^{2} \times 27}$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf \implies \dfrac{{12}^{4} \times {9}^{3} \times 4}{{6}^{3} \times {8}^{2} \times 27}$

$\sf \bf \implies \dfrac{{3}^{4} \times {2}^{4} \times {2}^{4} \times {3}^{3} \times {3}^{3} \times {2}^{2} }{{2}^{3} \times {3}^{3} \times {2}^{2} \times {2}^{2} \times {2}^{2} \times {3}^{3}}$

$\sf \bf \implies \dfrac{{2}^{4+4+2} \times {3}^{4+3+3}}{{2}^{3+2+2+2} \times {3}^{3+3}}$

$\sf \bf \implies \dfrac{{2}^{10} \times {3}^{10}}{{2}^{9} \times {3}^{6}}$

$\sf \bf \implies {2}^{10-9} \times {3}^{10-6}$

$\sf \bf \implies {2}^{1} \times {3}^{4}$

$\sf \bf \implies 2 \times 81$

$\sf \bf \implies {\boxed {\boxed {162}}}$

$\sf \bf {Used\:Formula}$

$\sf \bf {a}^{n} \times {a}^{m} ={a}^{n+m}$

$\sf \bf \dfrac{{a}^{n}}{{a}^{m}} ={a}^{n-m}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

_________________________________________

$\sf \bf \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

$\sf \bf {Identities}$

$\sf \bf {a}^{n} \times {a}^{m} ={a}^{n+m}$

$\sf \bf \dfrac{{a}^{n}}{{a}^{m}} ={a}^{n-m}$

$\sf \bf {({{a}^{n})}^{m}} ={a}^{nm}$

$\sf {\mathbb{\colorbox {orange} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {lime} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {aqua} {@suraj5070}}}}}}}}}}}}}}}$