50^2(m-3)/5^4(m-9) 2^2(m-5)

[latex] \frac{50^{2(m-3)}}{5^{4(m-9)}*2^{2(m-5)}} = \frac{5^{2*2(m-3)*2^{2(m-3)}}}{5^{4(m-9)}*2^{2(m-5)}}= \frac{5^{4m-6}*2^{2m-6}}{5^{4m-36}*2^{2m-10}} = [/latex] [latex]=\frac{5^{-6}*2^{-6}}{5^{-36}*2^{-10}}= \frac{5^{36}*2^{10}}{5^6*2^6}= 5^6*2^4=5^2*(5^4*2^4)=250000 [/latex]