# How do you simplify #(3xy^4)/(9xy)# using only positive exponents?

##### 2 Answers

Apr 19, 2016

#### Explanation:

Using the following

#color(blue)" rules of exponents " #

#• a^m/a^n = a^(m-n) #

#(3xy^4)/(9xy) = 3/9xx x/x xxy^4/y^1#

# = 1/3 xx 1 xx y^(4-1)= 1/3 y^3 #

Apr 19, 2016

#y^3/3#

#### Explanation:

You can separate the numerator and the denominator into three separate terms:

This will help you to divide the terms that are in like terms (such as 3 and 9, the two x's, and

*Important Key Concepts To Note:*

- remember the
**quotient rule**in exponents.

#x^b/x^a = x^{b - a}# - Terms that have no exponents with them, there's always an invisible "1" as the exponent.

#a = a^1#

Let's separate the terms and divide:

**Answer:**