Question

(t^-4)^-9t^2
Giving out medals & will fan you

Answer 1

@RadEn Can you help?

Answer 2

Subtract t from both sides:

4 + t - t = 9t - t
4 = 8t

Divide both sides by 8:

4/8 = 8t/8
1/2 = t
t = 1/2.

Answer 3

The possible answers are

t^26
t^-26
t^38
t^-38

Answer 4

can you give the parantheses, please to make sure

Answer 5

is it like this :
(t^-4)^-9 * t^2 ?

Answer 6

It is not written that way, but I believe that is implied.

Answer 7

yeah, i think it is (t^-4)^-9 * t^2
first, use the property of exponent :
(a^m)^n = a^(m * n)

Answer 8

so, it can be written as
(t^-4)^-9 * t^2
= t^36 * t^2
agree ?

Answer 9

You would add & I believe you would come up with t^39 is what my calculation told me.

Answer 10

t^38**

Answer 11

yeah, that's right. first times both powers (in-out oxponents)
then add the powers. yes the last answer is t^38

Answer 12

Thank you for your help! I do have one other question if your up for it?

Answer 13

ok, next question :)

Answer 14

Radio signals travel at a rate of 3*10^8 meters per second. How many seconds would it take for a radio signal to travel from a satellite to the surface of Earth if the satellite is orbiting at a height of 4.2*10^7 meters?

1.26*10^16 seconds
1.26*10^15 seconds
1.4*10^1 seconds
1.4*10^-1 seconds

Answer 15

time (t) = 4.2 * 10^7 divided by 3*10^8

Answer 16

just simplies that

Answer 17

1.4x10^15! :D

Answer 18

4.2/3 = 1.4 (ok, this is right)
but for 10^7 : 10^8, use the property of exponent this
a^m : a^n = a^(m-n)

Answer 19

so,
10^7 : 10^8 = 10^(7-8) = 10^-1

Answer 20

Okay. hah Thanks alot dude you really were a life saver! I will be fanning you too :)

Answer 21

you're welcome ;)