1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Studentka2010 [4]
2 years 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]2 years 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.

You might be interested in
Complete the table for y= -2x and graph the resulting line
shepuryov [24]
X | Y
-------
-5| 10
-4| 8
-3| 6
-2| 4
-1| 2
0 | 0
1 | -2
2 | -4
3 | -6
4 | -8
5 | -10
4 0
3 years ago
Find the product of (4x + 3y)2.
Digiron [165]
16+24xy+9y2 that is what I got
8 0
3 years ago
Read 2 more answers
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.
tangare [24]
The larger number is 51 and the smaller number is 12. ( hope I helped) have a good day
3 0
3 years ago
A six-sided polygon is shown with sides labeled 12 cm, 10 cm, 10 cm, 8 cm, 6 cm, and 3 cm.
Pani-rosa [81]

Answer:

49cm^2

Step-by-step explanation:

The perimeter is just a continuous line which forms the boundaries of a geometric figure.

The perimeter is just all the sides added up.

12cm+10cm+10cm+8cm+6cm+3cm = 49cm^2

3 0
2 years ago
Marvin is comparing two different music websites. Website A charges $10 per month for a subscription and $0.25 per song. Website
Alecsey [184]
Website A:
c = 10 + 0.25 s 
where c is the cost and s is the number of songs.
Website B:
c = 0.75 s
The equation ( answer ):
10 + 0.25 s = 0.75 s
We can solve this equation:
10 = 0.5 s
s = 10 : 0.5
s = 20 ( Marvin would have to buy 20 songs to to make the costs equal )
5 0
3 years ago
Other questions:
  • What is two numbers that equal 15.2 when you add and 52 when you multiple
    6·1 answer
  • A rectangular container is 12cm long, 11cm wide and 10cm high. The container is filled with water to a depth of 8cm. A metal sph
    5·1 answer
  • Which of the following rational numbers is equal to 4.7 with a line on top of 7 ?
    9·1 answer
  • Use the following table to help answer the question below.
    14·1 answer
  • Solve |2x-5|=4 pleasee
    7·2 answers
  • What is the mean absolute deviation <br><br> 3,5,8,1,4
    15·2 answers
  • What is the answer for 1/2 + 1/2?
    13·2 answers
  • PLEASE HELP NO TROLLS<br> 5. Find the measure of angle A. *
    8·2 answers
  • Write a function for the following table
    13·1 answer
  • Find the measure of midsegment EF.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!