# How do you simplify #x^-5 / (2^(1/3)x ^-2)#?

##### 1 Answer

Jun 7, 2016

#### Answer:

#### Explanation:

You only need to use three things:

- A negative exponent means the inverse of the positive exponent, so for example
#3^(-2)=1/3^2# - A rational exponent
#m/n# means that you have to take the#n# -th root of the#m# -th power, again as an example,#4^(5/2)=sqrt(4^5)# - The ratio between two powers of the same base is a power whose exponent is the difference of the exponents, so
#a^3/a^2=a^(3-2)=a#

Put those things together and you have

And so, finally,