How do you write #4^-2/4^6# using only positive exponents?

1 Answer
Oct 4, 2016

Answer:

#1/4^8#

Explanation:

Using the #color(blue)"laws of exponents"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(a/a)color(black)(a^-m=1/a^m)color(white)(a/a)|)))#

#rArr4^-2/4^6=4^-2xx1/4^6=1/4^2xx1/4^6#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(a/a)color(black)(a^mxxa^n=a^(m+n))color(white)(a/a)|)))#

#rArr1/4^2xx1/4^6=1/(4^2xx4^6)=1/4^8#