[tex]\displaystyle\bf\\\frac{(2m)^{-5}\cdot(5m)^{4} }{16m^{2} \cdot(8m)^{-3} }=\frac{2^{-5} \cdot m^{-5}\cdot 5^{4}\cdot m^{4} }{2^{4} \cdot m^{2} \cdot(2^{3} )^{-3}\cdot m^{-3}} =\frac{2^{-5} \cdot m^{-5}\cdot 5^{4}\cdot m^{4} }{2^{4} \cdot m^{2} \cdot2^{-9} \cdot m^{-3}} = \\\\\\=\frac{2^{-5} \cdot 5^{4} \cdot m^{-5+4} }{2^{4-9} \cdot m^{2-3} } =\frac{2^{-5}\cdot 5^{4} \cdot m^{-1} }{2^{-5} \cdot m^{-1} } =5^{4} =625\\\\\\Otvet: \ 625[/tex]
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
[tex]\displaystyle\bf\\\frac{(2m)^{-5}\cdot(5m)^{4} }{16m^{2} \cdot(8m)^{-3} }=\frac{2^{-5} \cdot m^{-5}\cdot 5^{4}\cdot m^{4} }{2^{4} \cdot m^{2} \cdot(2^{3} )^{-3}\cdot m^{-3}} =\frac{2^{-5} \cdot m^{-5}\cdot 5^{4}\cdot m^{4} }{2^{4} \cdot m^{2} \cdot2^{-9} \cdot m^{-3}} = \\\\\\=\frac{2^{-5} \cdot 5^{4} \cdot m^{-5+4} }{2^{4-9} \cdot m^{2-3} } =\frac{2^{-5}\cdot 5^{4} \cdot m^{-1} }{2^{-5} \cdot m^{-1} } =5^{4} =625\\\\\\Otvet: \ 625[/tex]