Question

solve it pls and get brainliest only explanation with anser nothing more​

Answer 1

Keep in mind that $a^{n}b^{n}=(ab)^{n}$.

So that $6^{7}=2^{7}*3^{7}$ and $12^{2}=2^{4}*3^{2}$ and $6^4=2^4*3^4$.

$2^5*3^7*5^8*(2\cdot3)^7*(2^2\cdot3)^{-2}*(2\cdot3)^{-4}*5^{-7}$

$=2^5*3^7*5^8*2^7*3^7*2^{-4}*3^{-2}*2^{-4}*3^{-4}*5^{-7}$

$=2^{5+7-4-4}*3^{7+7-2-4}*5^{8-7}$

$=2^{4}*3^{8}*5$