Question

simplify in exponential form 2⁵x4²x27³ upon 2²x3⁵​

Answer 1

Answer:

$\tt \implies \dfrac{ {2}^{5} \times {4}^{2} \times {27}^{3} }{ {2}^{2} \times {3}^{5} }$

$\tt \implies \dfrac{ {2}^{3} \times \cancel{ {2}^{2}} \times { \left( {2}^{2} \right) }^{2} \times \left( {3}^{3} \right)^{3} }{ \cancel{{2}^{2} } \times {3}^{5} }$

$\tt\implies \dfrac{ {2}^{3} \times ( {2} ) ^{4} \times {3}^{9} }{ {3}^{5} }$

$\tt\implies {2}^{3 + 4} \times {3}^{9 - 5}$

$\tt\implies2 {}^{7} \times {3}^{4}$

$\tt\implies128 \times 81$

$\red{ \boxed{ \tt\implies10368 }}$