Question

Help please. Questions are attached.

Answer 1

First you add the exponents

-9 + (-3) + (-8) = -9 - 3 - 8 = -20

So \[\Large e^{-9}e^{-3}e^{-8} = e^{-20}\]

this is your exact answer for part a)

Answer 2

use a calculator to find the approximate answer

Answer 3

thank you i had put e^-20 but then i was overthinking it and put 1/e^20

Answer 4

right, nearly forgot about making the exponent positive

good catch

Answer 5

then again, if it doesn't want fractions and wants e in the numerator, then you'll have no choice but to use negative exponents

Answer 6

so for the one with the dividing. for the 10/5 it would be 10-5 which would be 5 right? and for the -10/-5 would i still subratct that or would i do 10+5 and have that be 15 then end up with 1/e^20

Answer 7

oh and in the "approximately" box, you would put 2.0612 E -9 because you would get that

e^(-20) = 0.00000000206116

which converts to 2.0612 E -9

Answer 8

this is where you would use a calculator

Answer 9

great. thanks!

Answer 10

yw

Answer 11

for the next one, it's not as simple as add, subtracting, multiplying, or dividing exponents

Answer 12

you have to do a bit of work

Answer 13

that's what i was afraid of

Answer 14

i'm still not getting it. i can't see how else to solve it if it's not just subtracting the exponents to solve

Answer 15

oh, do i do something across first since they have the same base?

Answer 16

\[\Large \frac{e^{10} - e^{-10}}{e^{5} - e^{-5}}\]


\[\Large \frac{e^{10} - \frac{1}{e^{10}}}{e^{5} - \frac{1}{e^{5}}}\]


\[\Large \frac{e^{10}*e^{10} - e^{10}*\frac{1}{e^{10}}}{e^{10}*e^{5} - e^{10}*\frac{1}{e^{5}}}\]


\[\Large \frac{e^{20} - 1}{e^{15} - e^{5}}\]


\[\Large \frac{(e^{10} - 1)(e^{10} + 1)}{e^{5}(e^{10} - 1)}\]


\[\Large \frac{e^{10} + 1}{e^{5}}\]


\[\Large \frac{e^{10}}{e^{5}} + \frac{1}{e^{5}}\]


\[\Large e^{5} + \frac{1}{e^{5}}\]



Note: you can stop at the third to last step if you want (or the last step if you want)


This is your exact answer. You would then use a calculator to evaluate.

Answer 17

So your exact answer could be

\[\Large \frac{e^{10} + 1}{e^{5}}\]

or

\[\Large e^{5} + \frac{1}{e^{5}}\]

Answer 18

i'm sorry ..i have a question: on the third step why do you have e^10 on there 3 times?

Answer 19

I am multiplying EVERY fraction or term by the inner LCD e^10 to clear out the inner fractions

Answer 20

so that explains why all those e^10 terms show up

Answer 21

ohh. okay i understand.

Answer 22

ok that's great

Answer 23

thank you so much! than you even more for breaking it down into steps so i could understand the process to the answer

Answer 24

you're welcome