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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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The circumference of a circle is 18 pi feet. What is the area in terms of pi?
Nastasia [14]

Answer:

I am not sure if this is right but the answer is

The area of a circle with circumference 18π is 254.5

3 0
2 years ago
An 8 oz box of cocoa puffs costs $1.59 and a 2-pound box costs $6.79. which box is a better buy
VikaD [51]

Answer: 8 oz..

1 pound= 16oz if 8oz=1.59 so add it up 4 times 8+8+8+8= 32 which = 2 pounds total 8=1.59 8+8= 1.59x2=3.18 8+8+8=1.59x3=4.77 8+8+8+8/ 1.59x4= 6.36 so all of them eights will = up to 2 pounds and 8 is obviously less

Step-by-step explanation:

6 0
3 years ago
Krispy Kritters Cereal used to come in a
shtirl [24]

Answer:

1335cm³

Step-by-step explanation:

The question above says that,Krispy kritters cereal used to come in a box with a volume of 2,850 cm3. However, the krispy kritters co. Designed a new larger box 22.5 cm wide, 6.2 cm deep, and 30 cm high and we are now asked to find "How many more cubic centimeters will the new box hold than the old box?

Now we are all aware that the volume of a cube or cuboid(since its a box ) is length multipled by width multiplied by the height.

And we were given the new dimensions which are;

12.5cm wide

6.2cm deep and

30cm high

Apply this given figures in the formula above and we have:

V = 12.5 × 6.2 × 30

= 4185cm³( this is the volume of the box)

Therefore,the difference in volume between the new box and the old box is

4185 - 2850 = 1335cm³

5 0
3 years ago
Line segment AB is shown on a coordinate grid:
Lady_Fox [76]

Answer:

a'b' and ab are the same length

Step-by-step explanation:

they are both four squares long

7 0
2 years ago
What is the domain of the function?<br> x + 3<br> f(x) =<br> VX + 3
ahrayia [7]

Your question is a little ambiguous, but I am assuming that you meant to say the function f(x) = x+3

Thus, I am solving your question based on assuming the function such as

f(x)=x+3

But, it would still clear your concept, no matter what the function is.

Answer:

we conclude that

\mathrm{Domain\:of\:}\:x+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

The graph is also attached.

Step-by-step explanation:

Given the function

f(x)=x+3

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

As the function has no undefined points nor domain constraints.

Thus, the domain is

-\infty \:

Therefore, we conclude that

\mathrm{Domain\:of\:}\:x+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

The graph is also attached.

3 0
3 years ago
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