All categories

3 years ago

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

Words that came from the same ancestral language and originated from the same word are called

Anna71 [15]

Words that came from the same ancestral language and originated from the same word are called COGNATE WORDS.

In linguistics, cognates are words that have a common etymological origin. These are words in two languages that share a similar meaning, spelling, and pronunciation. For an instance, English words have lots of related words in Spanish.

8 0

3 years ago

Read 2 more answers

The projected T. rex is about

dolphi86 [110]

Answer: $scale\ factor=230$

Step-by-step explanation:

You need to analize all the information given in the exercise.

You know that the actual height of the T-rex on the projector lens is the following:

$actual\ height=2\ cm$

The height of the projected T-rex is:

$projected\ height=4.6\ m$

Make the conversion from meters to centimeters:

$projected\ heigth=(4.6\ m)(\frac{100\ cm}{1\ m})\\\\projected\ heigth= 460\ cm$

Therefore, the scale factor will be:

$scale\ factor=\frac{projected\ heigth}{actual\ heigth}$

Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:

$scale\ factor=\frac{460\ cm}{2\ cm}\\\\scale\ factor=230$

7 0

3 years ago

Andy received a 25% discount on the book he bought at the book sale if he paid 17.40 what was the original price for the book

zalisa [80]

Answer:

$21.75

Step-by-step explanation:

Add 25% then subtract to get back to $17.40

6 0

3 years ago

I need help can some please answer this 2 2/3+1 1/2

irakobra [83]

Answer:

25/6 or 4 1/6

Step-by-step explanation:

1) convert these fractions to improper fractions first:

8/3+3/2

make like denominators by multiplying 8/3 by 2 and 3/2 by 3

so 8*2/3*2=16/6

3*3/2*3=9/6

16/6+9/6=25/6

Hope this helps!

3 0

3 years ago

Read 2 more answers

If he paints 1/2 of the wall blue, hoy many square feet will be blue?

Katen [24]

To determine how much of the wall is blue we first need to find its area. The wall is a rectangle, then its area is the product of its height and length:

$\begin{gathered} A=(8\frac{2}{5})(16\frac{2}{3}) \\ A=(\frac{42}{5})(\frac{50}{3}) \\ A=(14)(10) \\ A=140 \end{gathered}$

Hence, the area of the wall is 140 square ft. To determine how much of the wall is already painted we multiply this by 1/2, then:

$(140)(\frac{1}{2})=70$

Therefore, 70 square ft are blue.

6 0

1 year ago