# How do you simplify #(2x^2y^3)/(8xy^7)#?

##### 1 Answer

The simplified expression is

#### Explanation:

To simplify a mathematical expression or equation, we must combine the like terms by performing the required mathematical operation. In our expression, the like terms are:

First, let us divide

Now the expression becomes like this. It is not needed to write the

Next, divide

Put the

Repeat the previous step, only instead, we are now dividing

Law of exponents state again that "when a base is raised to a negative power, find the reciprocal of the base, keep the exponent with the original base, and drop the negative." (To find the reciprocal of a fraction, just switch the numerator and denominator!) This means:

Now this is our simplified expression. Hope this helps.

http://people.sunyulster.edu/nicholsm/webct/WebCT2/laws_of_exponents.htm