How are the power rules for quotients and products similar? How are they different? Refer specifically to the way that the rule
1 answer:
Power rules for both quotient and product sums are useful to simplify large exponential form (of the same base)
The difference is in the rule. For quotient sum, the powers are subtracted, while for product sum, the powers are added up.
An example for quotient sum
Using the principle of simplifying fractions, we can cancel out ten 7s from both numerator and denominator, leaving us with only three 7s on the numerator which gives us
. This working out could be simplified by doing 
An example for product sum
. There is a total of eleven 9s if we were to work out the product sum the long way. This could be simplified by doing 
The difference is in the rule. For quotient sum, the powers are subtracted, while for product sum, the powers are added up.
An example for quotient sum
Using the principle of simplifying fractions, we can cancel out ten 7s from both numerator and denominator, leaving us with only three 7s on the numerator which gives us
An example for product sum
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The simplest interpretation would go a little something like this:
We know that we want the total donation amount to be more than $7,900, so we can set up this inequality to begin with
Where D is the total donations raised (in dollars). How do we find D? Well, we just add up the total number of table reservations sold and the total number of single tickets sold. If we let r stand for the number of reservation tickets and s stand for the number of single tickets, then we have
So, the inequality representing this situation would be
And that would probably be fine for this problem.
<span><em>Footnote:</em> </span>Of course, if this were a real-life scenario, we'd need to take some additional details into account: How many tables do we have? How many people can be seated at each table?
We know that we want the total donation amount to be more than $7,900, so we can set up this inequality to begin with
Where D is the total donations raised (in dollars). How do we find D? Well, we just add up the total number of table reservations sold and the total number of single tickets sold. If we let r stand for the number of reservation tickets and s stand for the number of single tickets, then we have
So, the inequality representing this situation would be
And that would probably be fine for this problem.
<span><em>Footnote:</em> </span>Of course, if this were a real-life scenario, we'd need to take some additional details into account: How many tables do we have? How many people can be seated at each table?
No, because if you work with fraction and do 
(3 eggs for every 2 cups) then you would be multiplying 3x4 and now you have tot do that to the demominator so she would need 8 cups of sugar