How do you simplify #(4a^5)^2# leaving only positive exponents?
1 Answer
Jul 9, 2016
Explanation:
Using the
#color(blue)"laws of exponents"#
#color(orange)"Reminder"#
#color(red)(|bar(ul(color(white)(a/a)color(black)((a^m)^n=a^(mn))color(white)(a/a)|)))# and further
#color(red)(|bar(ul(color(white)(a/a)color(black)((a^m.b^r)^n=a^(mn).b^(rn))color(white)(a/a)|)))#
#rArr(4a^5)^2=4^(1xx2)a^(5xx2)=4^2a^(10)=16a^(10)#