Simplify #( 3/4 m^-3 n^-7 p^-2) ^ -4# ?

1 Answer
Harish Chandra Rajpoot
Jul 26, 2018

#256/81m^{12}n^{28}p^8#

Explanation:

Given that

#(3/4m^{-3}n^{-7}p^{-2})^{-4}#

#=(3/4)^{-4}(m^{-3})^{-4}(n^{-7})^{-4}(p^{-2})^{-4}#

#=(4/3)^{4}(m^{(-3)(-4)})(n^{(-7)(-4)})(p^{(-2)(-4)})#

#=(4^4/3^4)(m^{12})(n^{28})(p^{8})#

#=256/81m^{12}n^{28}p^8#

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