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
Murljashka [212]
2 years ago
11

Simplify the expression to a form in which 2 is raised to a single integer power. fraction numerator open parentheses 2 to the p

ower of 10 close parentheses cubed 2 to the power of short dash 10 end exponent over denominator 2 to the power of short dash 7 end exponent end fraction
Mathematics
1 answer:
anzhelika [568]2 years ago
5 0

Answer:

2^27

Step-by-step explanation:

Given the following expression:

[(2^10)^3 x (2^-10)] ÷ 2^-7

This can be easily simplified. Let us simplify the numerator first. To do that, we have

(2^10)^3 making use of the power rule of indices that says:

(A^a)^b = A^ab where a and b are powers, we have:

2^(10x3) = 2^30

Therefore the numerator becomes:

2^30 x 2^-10. Also making use of the multiplication rule that says:

A^a x A^b = A^(a + b), we have

2^30 x 2^-10 = 2^(30 – 10) = 2^20.

Now we have:

(2^20) ÷ (2^-7)

To simplify this, we need the division rule of indices which says:

A^a ÷ A^b = A^(a – b)

Therefore we have:

(2^20) ÷ (2^-7) = 2^[20 – (–7)] = 2^(20+7) = 2^27

You might be interested in
A boat takes 4 hours to go 20 miles upstream. It can go 32 miles downstream in the same time. Find the rate of the current and t
KonstantinChe [14]
Let the boat speed in still water be b.
Let the current speed be c.
The speed going upstream is 20/4 = 5 mph.
The speed going downstream is 32/4 = 8 mph.
b - c = 5 ........(1)
b + c = 8 .......(2)
Adding equations (1) and (2) we get:
2b = 13
b = 13/2 = 6.5
Plugging in the value for b into equation (1) we find c = 1.5.
The boat speed in still water is 6.5 mph and the current speed is 1.5 mph.
4 0
2 years ago
Simplify. y 5 · y 3 ÷ y 2
Gnesinka [82]
Y^5 x y^3 /y^2
y^8/y^2
y^4
3 0
3 years ago
Bad gums may mean a bad heart. Researchers discovered that 82% of people who have suffered a heart attack had periodontal diseas
saveliy_v [14]

Answer:

37.27% probability that he or she will have a heart attack.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Periodontal disease

Event B: Heart attack

Researchers discovered that 82% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.

This means that P(A|B) = 0.82

Only 33% of healthy people have this disease.

This means that P(A) = 0.33

Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.

This means that P(B) = 0.15

If someone has periodontal disease, what is the probability that he or she will have a heart attack

P(B|A) = \frac{0.15*0.82}{0.33} = 0.3727

37.27% probability that he or she will have a heart attack.

6 0
3 years ago
PLease hep me Im in a huge rush
Ratling [72]
X=52 (vertically opposite angles)
6 0
3 years ago
Read 2 more answers
Find the center and radius of the circle 3 x squared plus 3 y squared plus 6 y equals 03x2+3y2+6y=0.
denis23 [38]

your answer would be 16

6 0
3 years ago
Read 2 more answers
Other questions:
  • 1- find the first term= ?, 90, 540, 3240
    5·1 answer
  • Name 3 numbers between 0.33 and 0.34
    8·2 answers
  • Write an expression for the apparent nth term of the sequence 0, 3, 8, 15, 24
    5·1 answer
  • A 20mg sample of thorium-233 decays to 17mg after 5 min. determine the half life of thorium-233?
    14·1 answer
  • *100 points* What is the maximum volume of a square pryamid that can fit inside a cube with a side length of 24 cm? A) 2,304 cm3
    7·1 answer
  • I NEED HELP ASAP PLSS
    13·1 answer
  • Find the volume.<br> 9 in<br> 4 in
    12·2 answers
  • What is the arc measure of \stackrel{\LARGE{\frown}}{AB}
    14·2 answers
  • What is 2+2+2+2+2+2+2+2+2,000+9,000000000 thanks
    6·2 answers
  • A group of 19 boys and 18 girls are attending a pottery class. Each pottery table can seat 6 people.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!