How do you simplify #5u^2v^-1# and write it using only positive exponents?

1 Answer
Jan 16, 2017

Answer:

See full simplification below:

Explanation:

To write this expression using only positive exponents we will use this rule of exponents:

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

#5u^2v^color(red)(-1) -> (5u^2)/v^color(red)(- -1) -> (5u^2)/v^color(red)(1)#

Then to complete the simplification we can utilize this rule for exponents:

#a^color(red)(1) = a#

#(5u^2)/v^color(red)(1) -> (5u^2)/v#