How do you simplify #(8x^3y^-5)/(2(4x)^-1y^2)# and write it using only positive exponents?
1 Answer
Nov 7, 2016
Explanation:
Using the
#color(blue)"laws of exponents"#
#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(a^-mhArr1/a^m" and " a^mxxa^n=a^(m+n))color(white)(2/2)|)))# We can write the expression as.
#8/2xx(x^3xx(4x)^1)xxy^-5/y^2#
#=4xx4x^4xx1/(y^2xxy^5)#
#=(16x^4)/y^7#
