Question

How do you simplify `(4a^5)^2` leaving only positive exponents?

Answer 1

`16a^(10)`

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)`