SOLUTION: hi..im in 7th grade algebra and i work out of the algebra 1 book published by glenco. i am in chapter 8 and working on dividing monomials. i really dont understand my homework and

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Question 434848: hi..im in 7th grade algebra and i work out of the algebra 1 book published by glenco. i am in chapter 8 and working on dividing monomials. i really dont understand my homework and need help.. i dont want you to give me the answer, i want to be able to understand it. i dont understand wether i am supposed to divide the final product or what. here is some questions i am having trouble with on my homework for tonight.

#20. -2a cubed over 10a to the eighth power.
#22. x cubed times y to the zero power times x to the negative 7th power.
please help!!
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
#20. -2a cubed over 10a to the eighth power.
-----
Maybe you know the exponent tells you the number of the base factor.
Your problem could be written as follows;
= [-2aaa]/[10aaaaaaaa]
----
Cancel common factors to get the answer.
===========================================

#22. x cubed times y to the zero power times x to the negative 7th power.
[xxx*y*z^0][x^-7]
---
The negative on the exponent means "invert".
z^0 = 1
----
So you have:
= [xxx*y*1][1(xxxxxxx)]
---
Cancel common factors to get the answer.
===========================================
Cheers,
Stan H.
===========

Answer by MathTherapy(10719) About Me  (Show Source):
You can put this solution on YOUR website!
hi..im in 7th grade algebra and i work out of the algebra 1 book published by glenco. i am in chapter 8 and working on dividing monomials. i really dont understand my homework and need help.. i dont want you to give me the answer, i want to be able to understand it. i dont understand wether i am supposed to divide the final product or what. here is some questions i am having trouble with on my homework for tonight. 

#20. -2a cubed over 10a to the eighth power.
#22. x cubed times y to the zero power times x to the negative 7th power. 

please help!! 
******************
"i dont want you to give me the answer, i want to be able to understand it"

I HOPE you do!!

#20. -2a cubed over 10a to the eighth power.

       %28-+2a%5E3%29%2F%2810a%5E8%29 

Go from LEFT to RIGHT
 
1. SIGNS:        First seen are the signs: "-" (in numerator) and "+" (in denominator). They are DIFFERENT!
                 What's the result when 2 DIFFERENT/UNLIKE signs are DIVIDED?

2. COEFFICIENTS: These are 2 (in numerator) and 10 (in denominator).     
                 What do you get when you DIVIDE 2 by 10?

3. VARIABLES:    These are a%5E3 (in numerator) and a%5E8 (in denominator). 
                 What's the result when EXPONENTIAL EXPRESSIONS/MONOMIALS with the same base ("a", in this case) are DIVIDED? 
                 What happens to the EXPONENTS when SAME-BASE MONOMIALS are DIVIDED? In other words, how does one "treat" k%5Et%2Fk%5Eu?
******************
#22. x cubed times y to the zero power times x to the negative 7th power. 
       %28x%5E3%29%28y%5Eo%29%28x%5E%28-+7%29%29

1. LIKE-TERMS:  DETERMINING like-terms, and then COMBINING them.
                These are x%5E3 and x%5E%28-+7%29. 
                What's the result when EXPONENTIAL EXPRESSIONS/MONOMIALS with the same base ("x", in this case) are MULTIPLIED? 
                What happens to the EXPONENTS when SAME-BASE MONOMIALS are MULTIPLIED? In other words, how does one "treat"
               %28a%5Eb%29%28a%5Ec%29?

2. EXPRESSIONS raised to the "0" POWER:  
                This is y%5Eo. 
                What's the result when EXPRESSIONS/MONOMIALS are raised to the "0" POWER? In other words, how does one "treat"
               ?