Question

2^8 * 3^5 * 5^4 / 3^3 * 5^3 * 2^4

Answer 1

$\Large{\underbrace{\underline{\bf{QUESTION\:}}}}:$

$\red\dagger\:\bf{\dfrac{2^8\times{3^5}\times{5^4}}{3^3\times{5^3}\times{2^4}}\:}$

$\Large{\underbrace{\underline{\bf{ANSWER\:}}}}:$

$\checkmark\:\bf{\dfrac{2^8\times{3^5}\times{5^4}}{3^3\times{5^3}\times{2^4}}\:}$

$\red:\implies\:\bf{\dfrac{2^8}{2^4}\times{\dfrac{3^5}{3^3}}\times{\dfrac{5^4}{5^3}}\:}$

$\red:\implies\:\bf{\dfrac{2^8}{2^4}\times{\dfrac{3^5}{3^3}}\times{\dfrac{5^4}{5^3}}\:}$

$\red:\implies\:\bf{2^{(8\:-\:4)}\times{3^{(5\:-\:3)}}\times{5^{(4\:-\:3)}}\:}$

$\red:\implies\:\bf{2^4\times{3^2}\times{5^1}\:}$

$\red:\implies\:\bf{16\times{9}\times{5}\:}$

$\red:\implies\:\bf\pink{720\:}$

Answer 2

$: \implies \frac{ {2}^{8} \times {3}^{5} \times {5}^{4} }{ {3}^{3} \times {5}^{3} \times {2}^{4} } \\ \\: \implies \frac{ {2}^{8} \times {3}^{5} \times {5}^{4} }{ {3}^{3} \times {5}^{3} \times {2}^{4} } \\ \\: \implies {2}^{(8 - 4)} \times {3}^{(5 - 3)} \times {5}^{(4 - 3)} \\ \\: \implies {2}^{4} \times {3}^{2} \times {5}^{1} \\ \\: \implies {2}^{4} \times {3}^{2} \times 5$

Hope it's helpful to you