Question

What is 2e^4x minus 2e^-4x?

Answer 1

how to factor it? if you want to factor it is e(e^x-e^(-2x))(e^x+e^(-2x))

Answer 2

oops that first e should be a 2

Answer 3

no how to subtract it.

Answer 4

u cant

Answer 5

Then what do you do?

Answer 6

what do u mean

Answer 7

are you trying to show it is equal to something?

Answer 8

I got it when i was try to solve this matrix inverse problem
Find the inverse of the matrix if it exist.
|e^x -e^2x|
|e^2x e^3x| It may be wrong though...

Answer 9

i get 1/(2e^(4x))*|e^3x e^2x|
|-e^2x e^x|

Answer 10

I have that too. but how do i multiply to get the answer?

Answer 11

so you want to multiply the scalar inside the matrix

Answer 12

yes

Answer 13

ok i get |(1/(2e^x) 1/(2e^x)|
|-1/(2e^(2x)) 1/(2e^3x)|

Answer 14

oops error! the first row first column should be 1/(2e^(2x))

Answer 15

first row and 2nd column*

Answer 16

you just multiply each entry by the scalar

Answer 17

So those are the final answers?

Answer 18

yes with correction i mentioned

Answer 19

Thank you so much!!!!

Answer 20

do you understand how to multiply each entry by the scalar?

Answer 21

you said that was your problem?

Answer 22

yes because of the exponentials. If it was regular numbers I could do it.

Answer 23

since the bases are the same law of exponents tell us to subtract the bottom exponent from the top exponent if we get a negative, usually people write it as a positive by flipping it for example (e^(2x)/e^(6x))=e^(2x-6x)=e^(-4x)

Answer 24

=1/(e^(4x))

Answer 25

another example: (e^(6x)/e^(2x))=e^(6x-2x)=e^(4x)

Answer 26

ok i see. thank you! i really appriciate you taking the time to show me.

Answer 27

np if you want i guess you can be my fan :)