How do you simplify #(4m^5)^5# and write it using only positive exponents?

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Answer 1 · 2018-03-04T13:47:36

See a solution process below:

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

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

#(4^color(red)(1)m^5)^5#

Now, use this rule of exponents to complete the simplification:

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

#(4^color(red)(1)m^color(red)(5))^color(blue)(5) =>#

#4^(color(red)(1)xxcolor(blue)(5))m^(color(red)(5)xxcolor(blue)(5)) =>#

#4^5m^25 =>#

#1024m^25#