Question

Simplify : (2 x 3⁴ x 2 power 5)/3² x 4²*​

Answer 1

Question :-

Simplify :-

$\sf \dfrac{2 \times {3}^{4} \times {2}^{5} }{ {3}^{2} \times {4}^{2} }$

Answer

$\sf \dfrac{2 \times {3}^{4} \times {2}^{5} }{ {3}^{2} \times {4}^{2} }$

$\sf = \dfrac{(2 \times {2}^{5} ) \times ( {3}^{4})}{ {3}^{2} \times { ({2}^{2}) }^{2} }$

$\sf = \dfrac{ {2}^{6} \times {3}^{4} }{ {2}^{4} \times {3}^{2} }$

$\sf = 2 ^{(6 - 4)} \times {3}^{(4 - 2)}$

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

$\sf = 4 \times 9$

$\sf = 36$

Answer 2

SoluTion :-

$\purple{ \rm : \implies\dfrac{2 \times 3^{4} × 2^{5}}{3^{2} \times 4^{2} }}$

$\purple{ \rm : \implies\dfrac{2 \times 3^{4} × 2^{5}}{3^{2} \times {{2}^{2} }^{2} }}$

$\purple{ \rm : \implies\dfrac{2 \times 3^{4} × 2^{5}}{3^{2} \times 2^{4} }}$

$\purple{ \rm : \implies\dfrac{2 \times2^{5} \times {3}^{4} }{3^{2} \times 2^{4} }}$

$\purple{ \rm : \implies\dfrac{2^{1+5} \times {3}^{4} }{3^{2} \times 2^{4} }}$

$\purple{ \rm : \implies\dfrac{2^{6} \times {3}^{4} }{3^{2} \times 2^{4} }}$

$\purple{\rm : \implies 2^{6} - 2^{4}\times 3^{4} \times 3^{2}}$

$\purple {: \implies 2^{2} \times 3^{2}}$

$\purple {: \implies 4 \times 9}$

$\red{: \implies \rm 36 }$