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Oduvanchick [21]
3 years ago
5

How are the power rules for quotients and products similar? How are they different? Refer specifically to the way that the rule

is proven to be true.
Mathematics
1 answer:
Lady_Fox [76]3 years ago
6 0
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
\frac{7^{13} }{7^{8} } = \frac{7*7*7*7*7*7*7*7*7*7*7*7*7}{7*7*7*7*7*7*7*7*7*7}
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 7^{3}. This working out could be simplified by doing 7^{13-10}= 7^{3}

An example for product sum
9^{5}* 9^{6} =(9*9*9*9*9)*(9*9*9*9*9*9)= 9^{11}. 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 9^{5+6} = 9^{11}
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PLEASE HELP, BRAINLIEST FOR THE BEST ANSWER
Zolol [24]

Answer:

Use the distance formula to determine the distance between the two points.

Distance

=

√(x2−x1)^2 + (y2−y1)^2

Substitute the actual values of the points into the distance formula.

√ ( (−6) − 0)^2 +( (−3) − 4)^2

Subtract 0 from −6

√(−6)^2 + ( ( −3 ) −4 )^2

Raise −6 to the power of 2

√36 + ( ( −3 ) −4 )^2

Subtract 4 from −3

√36 + ( −7 )^2

Raise −7 to the power of 2

√ 36 + 49

Add 36 and 49

√85

5 0
2 years ago
Please help.<br> Algebra.
ladessa [460]
The answer is 1 bc the solution is (1,-3)
7 0
3 years ago
A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than $7,900 in political contrib
baherus [9]
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

D \ \textgreater \ 7,900

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

D=540r+34s

So, the inequality representing this situation would be

540r+34s\ \textgreater \ 7,900

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?
3 0
3 years ago
Maritza is baking cookies to bring to school and share with her friends on her birthday. The recipe requires 3 eggs for every 2
Crazy boy [7]
No, because if you work with fraction and do \frac{3}{2} (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
3 0
2 years ago
1. A square and a rectangle have the same area. The length of the rectangle is 32
inessss [21]

Answer:

8

Step-by-step explanation:

A=l*w

32*2=64

A=s*s

s=√A

√64

=8

6 0
2 years ago
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