What is #(7m^{3} n^{11} )^{5}#?

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Answer 1 · 2018-05-22T12:13:41

See a solution process below:

First, use this rule of exponents to rewrite the term within the parenthesis:

#a = a^color(red)(1)#

#(7m^3n^11)^5 => (7^color(red)(1)m^3n^11)^5#

Now, use this rule of exponents to simplify the expression:

#(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))#

#(7^color(red)(1)m^color(red)(3)n^color(red)(11))^color(blue)(5) =>#

#7^(color(red)(1) xx color(blue)(5))m^(color(red)(3) xx color(blue)(5))n^(color(red)(11) xx color(blue)(5)) =>#

#7^5m^15n^55 =>#

#16807m^15n^55#