How do you simplify #(3x^3)^2*(2x)^3# and write it using only positive exponents?
1 Answer
Apr 19, 2017
Explanation:
using the
#color(blue)"laws of exponents"#
#color(red)(bar(ul(|color(white)(2/2)color(black)((a^mb^n)^p=a^(mp)b^(np)" and "a^mxxa^n=a^(m+n))color(white)(2/2)|)))#
#rArr(3x^3)^2xx(2x)^3#
#=3^((1xx2))xxx^((3xx2))xx2^((1xx3))xxx^((1xx3))#
#=3^2xxx^6xx2^3xxx^3#
#=9xx8xxx^((6+3))#
#=72x^9#
