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
Scrat [10]
3 years ago
14

(PLEASE HELP)simplify 2 with an exponent of 5 over 3 with an exponent of 2 and the equation has an exponent of 4

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0
Assuming you mean this as your problem I hope I can assist you.
( \frac{2^5}{3^2})^4
So just apply the exponent rule to start, which is (a/b)^c = a^c/b^c
This translates to....
\frac{(2^5)^4}{(3^2)^4}
Now apply the exponent rule (a^b)^c = a^bc
Which translates to 3^2 * 4 which is refined to 3^8
So now we have....
\frac{(2^5)^4}{3^8}
Just apply the exponent rule (a^b)^c
So we get 2^5 * 4 which refines to 2^20
Therefore our final answer is 2^20/3^8


You might be interested in
Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers
Vesna [10]

Answer:

726.572699

Step-by-step explanation:

According to differentials

(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)

Using this formula to solve (8.99)³, this can also be written as;

(8.99)³ =  (9-0.01)³ where

x = 9

Δx = -0.01

Substitute this vales into the differential expression above

(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³

(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³  = 726.572699

Hence 8.99³ = 726.572699 (Using differential)

Using calculator;

8.99³ = 726.572699

4 0
3 years ago
at silver gym membrship is 25$ per month and personal training sessions are thirty dollars each.At fit factor membership is 65$
NARA [144]
25+30x=65+20x
30x=40+20x
10x=40
x=40/10
x=4

x is for the number of sessions

ANSWER: 4 sessions
It will cost 145$ for both gyms after 4 sessions.
3 0
3 years ago
Read 2 more answers
In 2015, Ed spent $800 buying lunches. In 2017, he spent $550 buying lunches. What was the rate of change from 2015 to
marta [7]

9514 1404 393

Answer:

  $125 per year

Step-by-step explanation:

In the 2 years from 2015 to 2017, the spending on lunches increased by ...

  $800 -550 = $250

That is an average per year of ...

  $250/(2 yr) = $125/yr . . . . average dollar increase per year

_____

<em>Additional comment</em>

For costs, it is often true that they follow an exponential curve, not a linear one. Ed's spending increased by a factor of 800/550 = 16/11 in the two years, so an average percentage increase of √(16/11) -1 = 20.6% per year.

7 0
3 years ago
Madelyn is knitting a scarf for a holiday gift. So far, it's 4.5 centimeters long. She plans to
olchik [2.2K]

In order to make the question true the length should be 45cm not 4.5 cm , Solving accordingly

  • Let nights be x
  • Rate of change=5cm

The equation is

  • y=45-5x

As 45 is base amount we used it as y intercect

7 0
2 years ago
The mean amount spent by a family of four on food is $500 per month with a standard deviation of $75. Assuming that the food cos
Alexeev081 [22]

Answer:

z=\frac{x- \mu}{\sigma}

And replacing we got:

z=\frac{425-500}{75}= -1

And we can calculate this probabilit using the normal standard distribution or excel and we got:

P(z

Step-by-step explanation:

If we define the random variable of interest "the amount spent by a family of four of food per month" and we know the following parameter:

\mu = 500, \sigma = 75

And we want to find the following probability:

P(X

And we can use the z score formula given by:

z=\frac{x- \mu}{\sigma}

And replacing we got:

z=\frac{425-500}{75}= -1

And we can calculate this probabilit using the normal standard distribution or excel and we got:

P(z

5 0
3 years ago
Other questions:
  • Identify the corresponding word problem given the equation: x + 5 = 15 A) Billy is ten years older than his sister, Jenny. If Bi
    10·1 answer
  • What is the answer to 1^1+2^2+3^3+4^4
    14·2 answers
  • the concentration, in parts per million, of a type of antibiotic in a human’s bloodstream after h hours can be modeled by the po
    10·1 answer
  • Find the quotient of 12,3
    11·1 answer
  • Solve the following problem: a Chevrolet Impala travels 26 mpg in the city. How far will the Chevrolet Impala travel on 14.6 gal
    8·2 answers
  • Solve for x: -6 &lt; x-1 &lt;9<br> 05 0-5 0-5 &gt;x&gt; 10<br> O 5 &gt;x&gt;-10
    9·1 answer
  • A fair coin is tossed 5 times. what is the probability of no​ heads?
    6·1 answer
  • the sum of two numbers is 64. The smaller number is 6 less than the larger number. What are the numbers?
    15·1 answer
  • Are these both functions?
    10·1 answer
  • Please help asap no wrong answers pls
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!