How do you simplify #(3n^4)/(3n^3)# and write it using only positive exponents?

1 Answer
Jun 17, 2017

Answer:

See a solution process below:

Explanation:

First, we can cancel the common term in the numerator and denominator of the fraction:

#(3n^4)/(3n^3) => (color(red)(cancel(color(black)(3)))n^4)/(color(red)(cancel(color(black)(3)))n^3) => n^4/n^3#

Next, we can use these rules for exponents to complete the simplification:

#x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))# and #a^color(red)(1) = a#

#n^color(red)(4)/n^color(blue)(3) => n^(color(red)(4)-color(blue)(3)) => n^color(red)(1) => n#