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
antiseptic1488 [7]
3 years ago
7

How do you Simplify :(2p^-3)^5

Mathematics
1 answer:
iragen [17]3 years ago
3 0

Answer:

The final simplification is (32p^-15).

Step-by-step explanation:

Given:

(2p^-3)^5 we have to simplify.

Property to be used:(Power rule)

Power rule states that: (a^x)^y=a^x^y ...the exponents were multiplied.

Using power rule.

We have,

⇒(2p^-3)^5          

⇒(2^5)(p^-3^*5)     ...taking exponents individually.

⇒32(p^-^1^5)         ...2^5=2*2*2*2*2=32

⇒32p^-^1^5

So our final values are 32p^-15

You might be interested in
An educational psychologist wishes to know the mean number of words a third grader can read per minute.
Rama09 [41]

Answer: 208.

Step-by-step explanation:

The formula to find the minimum sample size is given by :-

n= (\dfrac{z^*\times \sigma}{E})^2                                    (1)

, where z* = critical z-value (two tailed).                                                                      

\sigma = Standard deviation ( from prior study ) and E = Margin of error.

As per given , we have

Margin of error : E= 0.29

Confidence level = 85%

Significance level =\alpha=1-0.85=0.15

Using z-table , the critical value (two -tailed)=z^*=z_{\alpha/2}=z_{0.15/2}=z_{0.075}=1.439

As per previous study , Variance =\sigma^2=8.41

\sigma=\sqrt{8.41}=2.9

Now, the required minimum sample size = n= (\dfrac{(1.439)\times (2.9)}{0.29})^2   [Substitute the values in formula (1)]

n=(14.39)^2

n=207.0721\approx208  [ Round to the next integer]

Hence, the minimum number of third graders that must be included in a sample = 208.

5 0
3 years ago
Simplify.<br> 2u? - 20u +42<br> u² – 5u+6
chubhunter [2.5K]

Answer:

The simplified expression is:

\frac{2(u + 7)}{(u- 2)}

Step-by-step explanation:

We want to simplify:

\frac{2 {u}^{2}  - 20u + 42}{ {u}^{2}  - 5u + 6}

We factor the numerator and the denominator to get:

\frac{2(u - 3)(u + 7)}{(u- 2)(u- 3)}

Cancel out u-2 which is common to the numerator and the denominator yo get:

\frac{2(u + 7)}{(u- 2)}

5 0
3 years ago
Work out the following questions ​
Basile [38]

Answer: The first one is 2 2/3 and the second one is 10 1/2

Step-by-step explanation: So 2/3 divided by 1/4. First you would do keep, change, flip. Then that would give you 2/3 times 4/1. 2/3 times 4/1 would be 8/3 which can be simplified to 2 2/3. The second one 7 divided by 2/3. Again do keep, change, flip. 7 times 3/2. This would give you 21/2 when you simplify you get 10 1/2.

6 0
3 years ago
Solve x^(2)+4x=4 for x by completing the square.
Mama L [17]

Answer:

x = 2 sqrt(2) - 2 or x = -2 - 2 sqrt(2)

Step-by-step explanation:

Solve for x:

x^2 + 4 x = 4

Add 4 to both sides:

x^2 + 4 x + 4 = 8

Write the left hand side as a square:

(x + 2)^2 = 8

Take the square root of both sides:

x + 2 = 2 sqrt(2) or x + 2 = -2 sqrt(2)

Subtract 2 from both sides:

x = 2 sqrt(2) - 2 or x + 2 = -2 sqrt(2)

Subtract 2 from both sides:

Answer: x = 2 sqrt(2) - 2 or x = -2 - 2 sqrt(2)

8 0
3 years ago
Find the value of x.<br> Please right answer only!
jok3333 [9.3K]
X = 2 should be the right answer
5 0
3 years ago
Read 2 more answers
Other questions:
  • A sole proprietorship is worth w dollars. The owner loses a lawsuit
    7·2 answers
  • 4k+mn=n-3; solve for n
    11·1 answer
  • If the angle of angle one is 24 then the measure of angle 4 is
    6·1 answer
  • The ratio of potatoes to turnips is 1:1 if there are are 473 potatoes how many turnips are there​
    6·2 answers
  • The length of a flower garden is 529 cm what is the length in meters
    14·2 answers
  • PLEASE HELP ME I DONT UNDERSTAND THANK YOU!
    10·1 answer
  • A rectangular prism has a length of 4 cm and a width of 5 cm.The volume of the prism is 200 cu cm .The height is unknown.Explain
    9·1 answer
  • I need help really bad I don't know how to do this
    9·2 answers
  • Is this statement true or false? *<br> If an odd number is less<br> than 15, then it is prime.
    8·1 answer
  • Nick wants to purchase a pair of binoculars that is on sale for $155.75. The sales tax rate in his county is 6.5%. Calculate the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!