How do you simplify #(20m^-3n^7)/(4mn^-3p^-4)#?

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Answer 1 · 2015-06-05T08:32:45

#(20m^-3n^7)/(4mn^-3p^-4)#

#(cancel20m^-3n^7)/(cancel4mn^-3p^-4)#

# = (5m^-3n^7)/(mn^-3p^-4)#

note: #color(blue)(a^m/a^n = a^(m-n) and color(blue)(a^m.a^n = a^(m+n)#

applying the above properties to our expression

# = (5m^((-3-1))n^((7+3)))/(p^-4)#

# = (5m^((-4))n^((10)))/(p^-4)#

note: #color(blue)(1/a^-m = a^m)#

# = color(purple)(5m^-4n^10p^4#