How do you divide #\frac { 6v ^ { 6} - 9v ^ { 5} } { 3v ^ { 2} }#?

Question

1024 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-06T12:34:00

See a solution process below:

First, rewrite this expression as:

#(6v^6)/(3v^2) - (9v^5)/(3v^2) =>#

#(2v^6)/v^2 - (3v^5)/(v^2)#

Now, use this rule for exponents to divide the two fractions:

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

#(2v^color(red)(6))/v^color(blue)(2) - (3v^color(red)(5))/v^color(blue)(2) =>#

#2v^(color(red)(6)-color(blue)(2)) - 3v^(color(red)(5)-color(blue)(2)) =>#

#2v^4 - 3v^3#

Where #3v^2 != 0 # or #v != 0#