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
Nesterboy [21]
3 years ago
13

What is the value of y^-5 and x^-3 for x = 2 and y = -4?

Mathematics
1 answer:
Ilya [14]3 years ago
7 0
a^{-n}=\dfrac{1}{a^n}\\\\x^{-3}=\dfrac{1}{x^3};\ y^{-5}=\dfrac{1}{y^5}\\\\\dfrac{y^{-5}}{x^{-3}}=\dfrac{1}{y^5}:\dfrac{1}{x^3}=\dfrac{1}{y^5}\cdot\dfrac{x^3}{1}=\dfrac{x^3}{y^5}\\\\x=2;\ y=-4=-2^2\\\\\dfrac{x^3}{y^5}=\dfrac{2^3}{(-2^2)^5}=\dfrac{2^3}{-2^{2\cdot5}}=\dfrac{2^3}{-2^{10}}=-\dfrac{1}{2^7}=\boxed{-\dfrac{1}{128}}\to\fbox{C.}
You might be interested in
Values for the area A of the rectangle shown are 30 SA < 60. Write and solve
Maurinko [17]

Answer:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

Step-by-step explanation:

5X + 3

6 0
2 years ago
What are the zeros of this function?
tatyana61 [14]

Answer:

Step-by-step explanation:

the zeroes of a function basically mean when y = 0, so basically the x-intercept(s)

in this case, the zeroes are 3 and 6

3 0
3 years ago
Read 2 more answers
Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a r
alexira [117]

Answer: The probability is P = 0.056

Step-by-step explanation:

The invited ones are:

Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia

So we have a total of 10 persons.

The case where Xerxes arrives first and Regina arrives last is:

We have 10 slots, each slot corresponds to who arrived in which time.

For the first slot we have only one option, this is Xeres.

For the next slot we have 8 options (because Xeres already arrived, and Regina must arrive at last)

For the next slot we have 7 options.

for the next one we have 6 options, and so on.

So the combinations are:

C = 1*8*7*6*5*4*3*2*1*1 = 40320

Now, the total number of combinations is:

for the first slot we have 10 options, for the second we have 9 options and so on.

c = 10*9*8*7*6*5*4*3*2*1 = 725760

The probability is the combinations where Xerxes arrives first and Regina rrives last divided the total number of probabilities.

P = C/c = 0.056

7 0
3 years ago
Original price: $330 discount percent: 15%
yuradex [85]

Answer:

$280.5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The daughter is 36 years younger than her mother. How many years ago was the mother 5 times he daughters age, if she is 50 now?
Anni [7]

Answer:

5 years ago

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Solve the equation to find the value of x. 8.35x-1.5=71.98
    15·2 answers
  • What is the median of the data set? 57 58 58.5 57.5
    6·2 answers
  • Ten samples of coal from a northern appalachian source had an average mercury content of 0.242 ppm with a standard deviation of
    5·1 answer
  • Please help asapppppp
    13·1 answer
  • What is the volume of the rectangular
    10·2 answers
  • A mother paid $15.05 for flour at a store that sells flour for $0.86 per pound.
    12·2 answers
  • When do you first start to see a moderate amount
    13·1 answer
  • Bruh school is boring lol ttm
    7·2 answers
  • HELPPP 21 POINTSS<br> MARKS BRAINLEST IF CORRECT
    9·2 answers
  • Penny reads 13 pages in 1/3 hour. What is the unit rate for pages per​ hour? For hours per​ page?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!