Question

Simplify
1 / (1+a^n) + 1/(1+a^-n)

Answer 1

hint: multiply that second fraction by a^n/a^n

Answer 2

Thanks but does it cancel out th denominater for the second fraction

Answer 3

\[1 \cdot a_n=? \\ (1+a^{-n}) \cdot a_n=1 \cdot a_n +a^{-n} \cdot a^{n} =?\]

Answer 4

Wouldn't it be 1+a as the denimontar

Answer 5

those one n's were suppose to be exponents (not subscipts)

Answer 6

\[1 \cdot a^n=a^n \\ (1+a^{-n}) \cdot a^n=1 \cdot a^n+a^{-n} a^{n} \text{ by distributive law } \\ \text{ now do you know law of exponents? }\]

Answer 7

if you have the same base and you are multiplying what do you do with the exponents ?

Answer 8

Add

Answer 9

\[(1+a^{-n})a^n=a^n+a^{-n+n}=?\]

Answer 10

-n+n=?

Answer 11

0

Answer 12

right and a^0=?

Answer 13

One

Answer 14

\[\frac{1}{1+a^{n}}+\frac{a^n}{1+a^{n}}=?\]

Answer 15

you see you have the same denominator

Answer 16

now you can write as one fraction

Answer 17

\[\frac{1+a^{n}}{1+a^{n}}=?\]

Answer 18

1

Answer 19

right
and this is of coursing assuming a>0

Answer 20

a could be less than 0 depending on n
we could say a lot about the domain restrictions
lol

Answer 21

but I'm sure they are just looking for 1

Answer 22

Ok tysm

Answer 23

np