How do you multiply #(m ^ { - 5} n ^ { 0} p ^ { 4} ) ^ { 4} \cdot p n ^ { - 4}#?

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Answer 1 · 2018-01-31T00:23:39

#=m^-20p^17n^-4#

#(m^-5n^0p^4)^4*pn^-4#

Know that, #n^0=1, n!=0#

#=(m^-5*1*p^4)^4*pn^-4#

#=(m^-5p^4)^4*pn^-4#

Also know that, #(ab)^c=a^cb^c#

#=m^-20p^16*pn^-4#

Now, multiply like-terms.

#=m^-20p^17n^-4#