Simplify Each Expression...3

[sologuitar]

College Algebra 

Section R.2

Simplify each expression.  Express the answer so that all exponents are positive. Whenever an exponent is zero or negative, we assume that the base is not zero.

 

[studiot]

1 hour ago, sologuitar said:

Simplify each expression.  Express the answer so that all exponents are positive. Whenever an exponent is zero or negative, we assume that the base is not zero.

So far as i can see all these check out.

 

But you should not use use to check work you are going to submit for marks.

 

Here is a simple check you can run for yourself.

 

Say you are asked to simplify expression A / expression B  and end up with expression C / expression D

You want to know if they are equal ie you have not made a mistake.

[math]\frac{A}{B}? = \frac{C}{D}[/math]

CROSS MULTIPLY

The results should be identical if you are correct.

a simple example should show what I mean

 

To test if

[math]\frac{{{x^2}}}{{{x^3}}} = \frac{1}{x}[/math]

 

CROSS MULTIPLY

 

[math]{x^2}*x = {x^3}*1[/math]

[sologuitar]

4 hours ago, studiot said:

So far as i can see all these check out.

 

But you should not use use to check work you are going to submit for marks.

 

Here is a simple check you can run for yourself.

 

Say you are asked to simplify expression A / expression B  and end up with expression C / expression D

You want to know if they are equal ie you have not made a mistake.

AB?=CD

CROSS MULTIPLY

The results should be identical if you are correct.

a simple example should show what I mean

 

To test if

x2x3=1x

 

CROSS MULTIPLY

 

x2∗x=x3∗1

Ok. Copy. 

[e jane aran]

8 hours ago, sologuitar said:

Off-topic, but I just wanted to mention: You have very nice penmanship! 😊