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Studentka2010 [4]
1 year ago
15

If you know that the product of two powers is 5 to the power of 3, and that the quotient is 5 to the power of 17, what could the

two powers be? Explain how you know this answer is correct.
Mathematics
1 answer:
krok68 [10]1 year ago
8 0

Answer:

5^{10} \cdot 5^{-7} = 5^3

\frac{5^{10}}{5^{-7}} = 5^{17}

Step-by-step explanation:

You have two equations:

5^a \cdot 5^b = 5^3

\frac{5^a}{5^b} = 5^{17}

But since

x^a \cdot x^b = x^{a+b}

you only need to solve a+b = 3 and a-b=17

Rewrite the second as a = 17+b and plug it into the first:

17+b + b = 3, then you find, 2b = -14, so b = -7.

Then a=3-b, so a = 10.

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Simon (Mr. Lovett) completed 4 sets of chin-ups. Every set he reached a different prime number of chin-ups. Knowing this, what n
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Answer:

answer is b!

Step-by-step explanation:

hope this helps!!!

8 0
3 years ago
a recipe calls for a total of 3 2/3 cups of flour and sugar. it the recipe calls for 1/4 cup of sugar, how much flour is needed?
zavuch27 [327]

Answer:

This is very detailed as I wish to make some principles about fractions clear.

3

5

12

Explanation:

This question boils down to  

3

2

3

−

1

4

A fractions structure is that of:

count

size indicator of what you are counting

→

numerator

denominator

You can not directly add or subtract the counts (numerators) unless the size indicators (denominators) are the same.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider  

3

2

3

Write as  

3

+

2

3

Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way something looks without changing its true value

[

3

×

1

]

+

2

3

[

3

×

3

3

]

+

2

3

 

9

3

   

+

2

3

 

=

 

11

3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Putting it all together

3

2

3

−

1

4

 

→

 

11

3

−

1

4

But the size indicators are not the same. I chose to make them become 12

11

3

−

1

4

 

→

 

[

11

3

×

1

]

−

[

1

4

×

1

]

               

→

 

[

11

3

×

4

4

]

−

[

1

4

×

3

3

]

               

→

     

44

12

     

−

 

3

12

Now we may subtract the counts

               

→

 

44

−

3

12

 

=

 

41

12

But this is the same as  

12

12

+

12

12

+

12

12

+

5

12

                         

=

 

1

2

+

2

1

2

+

2

1

2

+

5

12

 

=

 

3

5

12


Step-by-step explanation:


5 0
2 years ago
Read 2 more answers
2s+10-7s-8+3s-7<br> syplifying expression fyi​
Solnce55 [7]

Answer:

-1+5z, -25+20y, 4d+14, 2n-2, 40k+8, 8b+5, -9+22p

Step-by-step explanation:

1) -4+7z+3-2z

-1+5z

2) 15+4(5y-10)

15+20y-40

-25+20y

3) 2d+17-3-2d+4d

4d+14

4) 12n-8-2n+10-4

2n-2

5) 8(2k+1+3k)

16k+8+24k

40k+8

5) 4(2b+2)-3

8b+8-3

8b+5

6) -4+8p-6p-5+20p

-9+22p

7 0
3 years ago
3
Mnenie [13.5K]
The answer would have to be B
7 0
3 years ago
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