<PRE><B>Question 434848</B>
&lt;pre&gt;
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!! 
&lt;font color = green&gt;&lt;font size = 5&gt;&lt;b&gt;******************&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;
&lt;font color = magenta&gt;&lt;font size = 4&gt;&lt;b&gt;&quot;i dont want you to give me the answer, i want to be able to understand it&quot;&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;

&lt;font color = magenta&gt;&lt;font size = 4&gt;&lt;b&gt;I HOPE you do!!&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;

&lt;font color = red&gt;&lt;font size = 5&gt;&lt;b&gt;#20. -2a cubed over 10a to the eighth power.&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;

       {{{(- 2a^3)/(10a^8)}}} 

&lt;font color = red&gt;&lt;font size = 4&gt;&lt;b&gt;&lt;u&gt;Go from LEFT to RIGHT&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;&lt;/u&gt;
 
1. &lt;font color = blue&gt;&lt;b&gt;SIGNS:&lt;/font&gt;&lt;/b&gt;        First seen are the signs: &quot;-&quot; (in numerator) and &quot;+&quot; (in denominator). They are DIFFERENT!
                 What&#39;s the result when 2 DIFFERENT/UNLIKE signs are DIVIDED?

2. &lt;font color = blue&gt;&lt;b&gt;COEFFICIENTS:&lt;/font&gt;&lt;/b&gt; These are 2 (in numerator) and 10 (in denominator).     
                 What do you get when you DIVIDE 2 by 10?

3. &lt;font color = blue&gt;&lt;b&gt;VARIABLES:&lt;/font&gt;&lt;/b&gt;    These are {{{a^3}}} (in numerator) and {{{a^8}}} (in denominator). 
                 What&#39;s the result when EXPONENTIAL EXPRESSIONS/MONOMIALS with the same base (&quot;a&quot;, in this case) are DIVIDED? 
                 What happens to the EXPONENTS when SAME-BASE MONOMIALS are DIVIDED? In other words, how does one &quot;treat&quot; {{{k^t/k^u}}}?
&lt;font color = green&gt;&lt;font size = 5&gt;&lt;b&gt;******************&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;
&lt;font color = red&gt;&lt;font size = 5&gt;&lt;b&gt;#22. x cubed times y to the zero power times x to the negative 7th power. &lt;/font&gt;&lt;/font&gt;&lt;/b&gt;
       {{{(x^3)(y^o)(x^(- 7))}}}

1. &lt;font color = blue&gt;&lt;b&gt;LIKE-TERMS:&lt;/font&gt;&lt;/b&gt;  DETERMINING like-terms, and then COMBINING them.
                These are {{{x^3}}} and {{{x^(- 7)}}}. 
                What&#39;s the result when EXPONENTIAL EXPRESSIONS/MONOMIALS with the same base (&quot;x&quot;, in this case) are MULTIPLIED? 
                What happens to the EXPONENTS when SAME-BASE MONOMIALS are MULTIPLIED? In other words, how does one &quot;treat&quot;
               {{{(a^b)(a^c)}}}?

2. &lt;font color = blue&gt;&lt;b&gt;EXPRESSIONS raised to the &quot;0&quot; POWER:&lt;/font&gt;&lt;/b&gt;  
                This is {{{y^o}}}. 
                What&#39;s the result when EXPRESSIONS/MONOMIALS are raised to the &quot;0&quot; POWER? In other words, how does one &quot;treat&quot;
               {{{matrix(1,15, a^o, &quot;,&quot;, b^o, &quot;,&quot;, c^o, &quot;,&quot;, d^o, &quot;,&quot;, e^o, &quot;,&quot;, f^o, &quot;,&quot;, &quot;1,000,000&quot;^o, &quot;,&quot;, &quot;etc.&quot;)}}}?&lt;/pre&gt;</PRE>