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]
3 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]3 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
How can square roots be written so that the radicand has no square factors?
larisa86 [58]

Answer:

You can do this by dividing the radicand by the square number , and multiplying the radical by the root of that number.

e.g.

\sqrt{96} \\= \sqrt{16 \times 6}\\= 4\sqrt{6}

5 0
3 years ago
A number divided by three less two is at most two
zheka24 [161]

Answer:

6

Step-by-step explanation:

6/3 = 2

5 0
3 years ago
Eastside middle school ​has 1,500 students. Thirty-two percent of them are in sixth grade. How many sixth-grade students are the
hichkok12 [17]
480 six graders
1,500*0.32 = 480
6 0
3 years ago
Increase £248 by 30%
AfilCa [17]
p\%=\frac{p}{100}\\\\30\%=\frac{30}{100}=\frac{3}{10}=0.3\\\\30\%\ of\ \£248=0.3\cdot\£248=\£74.40\\\\increase\to\£248+\£74.40=\boxed{\£322.40}\leftarrow answer
5 0
3 years ago
Read 2 more answers
The table shows a proportional relationship between the number of stars Roberto collects in a game and his total points. A row o
maks197457 [2]

Answer:

1) 20 stars; 30 points.

2) 28 stars, 42 points.

3) 38 stars, 57 points.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let  be "x" the numbers of stars Roberto collects and "y" his total points.

The proportional relationship has this form:

y=kx

Where "k" is the constant of proportionality.

We can choose the point (8,12) from the table, where:

x=8\\y=12

Substituting these values into  y=kx and solving for "k", we get:

 12=k(8)\\\\\frac{12}{8}=k\\\\k=1.5

Knowing the value of "k", we determine that the  following Numbers of stars and the Total points could be used as the missing values in the table:

1) For x=20 :

y=(1.5)(20)=30

2) For x=28 :

y=(1.5)(28)=42

3) For x=38 :

y=(1.5)(38)=57

4 0
3 years ago
Read 2 more answers
Other questions:
  • Tomas drew a rectangular with an area of 6 square centimeters. What is the greatest possible perimeter for this rectangle
    14·1 answer
  • A baker brought some butter. He used 360 grams to make some pastry. This was 5/6 of the butter he had. How much butter did he bu
    14·2 answers
  • A bag contains 3 blue coins and 9 red coins. A coin is removed at random and replaced by three of the other color. Part 1 out of
    11·2 answers
  • Find the surface area of the regular pyramid shown to the nearest whole number. <br><br> Thank you.
    15·1 answer
  • 3x√64= please help meee
    7·2 answers
  • The line shown below are parallel. If the green line has a slope of -1/2, what is the slope of the red line?
    7·2 answers
  • I WILL GIVE 100 POINTS FOR THIS PLS ANSWER ASAP
    7·2 answers
  • There are four defenders on a soccer team. If this represents 20 percent of the players on the team, which equation can be used
    8·2 answers
  • If a number is reduced by 40% and it becomes 192, what was the original price?
    12·2 answers
  • If a = -4 and b = 3, what is |a-b|​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!