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
weqwewe [10]
3 years ago
8

What is the value of x in this simplified expression? (-j)^-7=1/(-j)^x

Mathematics
1 answer:
e-lub [12.9K]3 years ago
5 0

x=7\\\\\text{because}\\\\a^{-n}=\dfrac{1}{a^n};\ a\neq0\\\\(-j)^{-7}=\dfrac{1}{(-j)^7}


\text{Minus in a power means inverse.}


a^{-1}=\dfrac{1}{a}\\\\(-j)^{-7}=(-j)^{7\cdot(-1)}=\left[(-j)^7\right]^{-1}=\dfrac{1}{(-j)^7}\\\\\text{Used:}\\\\(a^n)^m=a^{n\cdot m}


You might be interested in
Which ordered pair is a solution of the equation?
frozen [14]
It’s B because 5 = -3(-3) - 4
5=9-4
Just plug in the numbers and see what works
3 0
2 years ago
Read 2 more answers
Suppose the invertible function φ(x) has the domain (−5,11) and the range (−12,1).
Rom4ik [11]

Answer:

Range of \phi^{-1} is (−5,11).

Step-by-step explanation:

Given the invertible function Ф(x) which has the domain (−5,11) and the range (−12,1).

Invertible function is the function that inverses another function i.e if y=Ф(x) then x=g(y) where g is called the inverse of Ф and denoted by\phi^{-1}

Given Ф(x) the function whose domain is (−5,11) and range is (−12,1). Therefore, by definition of invertible function there exist a function g with domain (−12,1) and range (−5,11) which is called the inverse function denoted by \phi^{-1}

Hence, Range of \phi^{-1} is (−5,11)



3 0
3 years ago
Read 2 more answers
Find Dy/dX when x^y×y^x=1​
victus00 [196]

by dy/dx, we'll be assuming that "y" is encapsulating a function, a function in terms of "x".

x^y\cdot y^x=1\implies \stackrel{\textit{\large product rule}}{\stackrel{\textit{chain rule}}{yx^{y-1}(1)}\cdot y^x+x^y\cdot \stackrel{\textit{chain rule}}{xy^{x-1}\cdot \frac{dy}{dx}}}~~ = ~~0 \\\\\\ y^{1+x}x^{y-1}+x^{y+1}y^{x-1}\cdot \cfrac{dy}{dx}=0\implies \cfrac{dy}{dx}=\cfrac{-y^{1+x}x^{y-1}}{x^{y+1}y^{x-1}} \\\\\\ \cfrac{dy}{dx}=-~~ y^{(1+x)-(x-1)}~~x^{(y-1)-(y+1)} \\\\\\ \cfrac{dy}{dx}=-~~ y^2x^{-2}\implies \cfrac{dy}{dx}=\cfrac{-y^2}{x^2}

7 0
2 years ago
a new park has 14 acres of lake and 37 acres of forest. if 9 acres is reserved for a wildlife refuge, how many acres os the park
yan [13]

Answer: 60 Acres

Step-by-step explanation:

You would have to add all them together to get 60.

Plzz mark brainlest

3 0
2 years ago
Help please thank you very much
Karo-lina-s [1.5K]

Answer:

1.5 miles per day

Step-by-step explanation:

Mr. Turner ran 1.5 miles per day, 4.5 miles / 3 = 1.5 miles.

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is cos 45º?
    8·2 answers
  • Multiply it by 2, add 50 & my answer is 74, what was my number
    14·2 answers
  • Simplify 13x + 7y - 2x + 6a
    13·2 answers
  • SOMEBODY PLZ HELP FAST!!! Use the data in the stem-and-leaf plot to match the term in Column A to the answer in Column B.
    6·1 answer
  • The table shows the sales price and the discount offered at different stores for a bicycle that Juan wants to pure
    10·1 answer
  • A math test has 25 multiple choice questions. Each question has 4 possible answers.
    5·1 answer
  • If you have consistently been exercising during the school year but then take the
    11·1 answer
  • The height h, in feet, of a projectile t seconds after launch is modeled by the equation h = 32t – 16t2. How long after launch d
    11·2 answers
  • 2x+3y=-12<br> 2x+t=-16<br> X=. Y=<br> Help plz
    12·1 answer
  • Heidi is training for a marathon. her training started at 5km and increased by 1.5km every week.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!