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
Sonja [21]
2 years ago
5

Simplify the expression where possible. (r ^-3 s^2 t) ^4

Mathematics
1 answer:
ASHA 777 [7]2 years ago
3 0

Use\\\\(ab)^n=a^nb^n\\\\ (a^n)^m=a^{n\cdot m}\\-------------------\\\\\left(r^{-3}s^2t\right)^4=\left(r^{-3}\right)^4\left(s^2\right)^4(t)^4=r^{(-3)(4)}s^{(2)(4)}t^4\\\\=\boxed{r^{-12}s^8t^4}\to\boxed{\dfrac{s^8t^4}{r^{12}}}

You might be interested in
Excel - Using the charts below how would I create an equation to calculate the cost for the other years using the annual API
Len [333]
<h3>Explanation:</h3>

If we assume that the given cost of iPhone 6s (gray cell) is cell O114, then the cells around it get filled with formulas that calculate what the column header tells you.

Cell P114 is the ratio of this year's CPI to last year's, so will have the formula ...

  =N114/N113

Cell Q114 is the annual inflation rate. You can express this different ways, but the usual way is as a percentage. A percentage change is calculated as ...

  ((new value) -(old value))/(old value) × 100%

This can be rearranged to ...

  ((new value)/(old value) -1) × 100%

Of course, the ratio (new value)/(old value) is the one in column P, so the formula for cell Q114 is simply ...

  =P114-1

with the cell formatting is set to <em>show the value as a percent</em>.

___

The cell phone costs that go in column O can make use of the ratio calculated in column P, or they can be formulated using the CPI directly. Either way, the previous year's cell phone cost is the current year's cost divided by the ratio in column P. That is, cell O113 could be either of ...

  =O114/P114

  =O114/N114*N113

_____

Of course, once you put these formulas in the cells at the bottom of the table, you must fill them upward so they calculate values for previous years. The attachment shows a recreation of a small part of your table, with the formula bar showing the formula in the highlighted cell.

3 0
2 years ago
a drink is made by mixing pineapple juice orange juice and lime juice in the ratio 2:7:3 Sally makes 600ml of the fruit drink ho
satela [25.4K]
Pineapple juice : orange juice : lime juice = 2:7:3
So there is 2x of pineapple juice, 7x of orange juice and 3x of lime juice.

2x+7x+3x=600 \\&#10;12x=600 \\&#10;x=50 \\ \\&#10;pineapple \ juice \to 2x = 2 \times 50=100

She used 100 ml of pineapple juice.
7 0
3 years ago
Read 2 more answers
A person needs to fill 18 water jugs with a hose. Filling the first 3 jugs has taken 5 minutes. How long to finish filling the r
lyudmila [28]

Answer:

10.8 minutes

Step-by-step explanation:

Given data

We are told that the number of Jugs is 18

Filling the first 3 jugs has taken 5 minutes

let us find the filling rate

Rate= 3/5

Rate= 0.6 Jugs per minute

Hence the rate of filling is 0.6 Jugs per minute

Therefore the time take to fill the remaining 16 jugs is

TIme= Rate*Number of Jugs

TIme= 0.6*18

Time= 10.8 minutes

8 0
2 years ago
58:19
MakcuM [25]

Answer:

"Acceleration" means any change in the speed or direction of motion ... speeding up, slowing down, or turning.  So . . .

-- The distance traveled in a certain time may increase or decrease.

-- The displacement covered in a certain time may increase or decrease.

-- The speed of the object may increase or decrease.

-- The velocity of the object (speed/direction) will change.

Step-by-step explanation:

7 0
3 years ago
What is the solution to the system of equations?<br><br> y = 1.5x – 4<br><br> y = –x
sasho [114]
I attached a photo of the work. I hope it helps!

5 0
2 years ago
Read 2 more answers
Other questions:
  • Legend has it that the great mathematician Carl Friedrich Gauss ​(1777dash–​1855) at a very young age was told by his teacher to
    10·1 answer
  • How does the graph of f(x) =-3^2x-4 differ from the graph of g(x)=-3^2x
    13·1 answer
  • There is 17 apples in s basket. 9 of these apples are green the rest of them are red
    10·1 answer
  • Find the 14th term of the geometric sequence 2, 4, 8, ...
    5·1 answer
  • Given a coin and a number cube which list gives the possible results?
    9·1 answer
  • Is every rhombus with four right angles is a square. True or False
    6·2 answers
  • Use the value of the linear correlation coefficient r to find the percentage of the total variation that can be explained by the
    5·1 answer
  • jackson has a rectangular piece of paper with a width of six units and a length of four units as shown below. He cuts the paper
    15·1 answer
  • Farhad deposits Rs 6000 in a bank at the rate of 6 % per annum for 3 years at simple interest. Find the amount he will get back
    12·1 answer
  • __________ notation encodes a real number as a mantissa multiplied by a power (exponent) of 2.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!