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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Okay, first, given the equation, we need to find out what the radius of the circle is. Let us state the general equation of a circle:
Where
is the centre of the circle. In this case, we don't need to know the centre. Just the radius.
Let us start by converting the equation into standard for, which I typed above. Divide both sides by 81.
Great! We now know the radius of the circle. It is
because it is the bottom fraction. Now we know that the radius is 9.
So now lets input this into the area of circle formula:
Now we insert our radius.
You can convert that into a decimal if you wish.
Hope this helped!
~Cam943, Moderator
Where
Let us start by converting the equation into standard for, which I typed above. Divide both sides by 81.
Great! We now know the radius of the circle. It is
So now lets input this into the area of circle formula:
Now we insert our radius.
You can convert that into a decimal if you wish.
Hope this helped!
~Cam943, Moderator