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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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Justin‘s gas tank is 3/10 full after he buys 14 gallons of gas it is 4/5 full how many gallons can Justin‘s tank hold
dangina [55]

Answer:
I can help, its 45

6 0
2 years ago
За – 6а + 2 = 8а + 20 – 5а
Luda [366]

Answer:

a = -3

Step-by-step explanation:

3a - 6a + 2 = 8a + 20 - 5a

Combine Like Terms

-3a + 2 = 3a + 20

       -2            -2

-------------------------------------

-3a = 3a + 18

-3a  -3a

-------------------------------------

-6a = 18

----   ----

-6     -6

a  =  -3

4 0
3 years ago
Twice as many students are in the chess club as in the fencing club.The number of students in the fencing club is one fifth the
jekas [21]

Answer:

28 students

Step-by-step explanation:

Let number of students in cooking club = x

Number of students in fencing club = 1/5 x

Number of students in chess club = 2(1/5)x

Since, There are 42 more students in the cooking club than in the chess club

Then ;

Number of students in chess club = Number of students in cooking club - 42

2(1/5)x = x - 42

(2/5)x - x = - 42

(2/5)x - x = - 42

-0.6x = - 42

x = 42 / 0.6

x = 70

Hence, number of students in chess club :

(2/5) * 70 = 28

4 0
3 years ago
Before sending track and field athletes to the Olympics, the U.S. Holds a qualifying meet. The box plots below show the distance
sleet_krkn [62]

Question:

The options are;

A. The distances in the Olympic final were farther on average.

B. The distances in the Olympic final varied noticeably more than the US qualifier distances

C. The distances in the Olympic final were all greater than the US qualifier distances

D. none of the above

Answer:

The correct option is;

A. The distances in the Olympic final were farther on average.

Step-by-step explanation:

From the options given, we have

A. The distances in the Olympic final were farther on average.

This is true as the sum of the 5 points divided by 5 is more in the Olympic final

B. The distances in the Olympic final varied noticeably more than the US qualifier distances

This is not correct as the difference between the upper and lower quartile in the Olympic final is lesser than in the qualifier

C. The distances in the Olympic final were all greater than the US qualifier distances

This is not correct as the max of the qualifier is more than the lower quartile in the Olympic final

D. none of the above

We have seen a possible correct option in option A

7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!! A cylinder shaped container has a radius of 30 cm and a height of 100 cm. A glass sphere with a radius of 12 cm
SSSSS [86.1K]

Answer: The answer is 275,365 cm³  I just took the test so I know this is correct

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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