Question

Which is larger: $(3^4\times 2^3)$ or $(2^5\times 3^2)$?

Answer 1

Given that: $(3^4\times 2^3)=(81\times 8)=648$ .........Using [$a^{m_1}\times ...\times a^{m_n}=a^{m_1+.......m_n}$ ]

And $(2^5\times 3^2)=(32\times 6)=192$ .........Using [$a^{m_1}\times ...\times a^{m_n}=a^{m_1+.......m_n}$

$\therefore$ $648>192$

Hence $(3^4\times 2^3)>(2^5\times 3^2)$