Question

factorize (2^n+1 + 2^n )/3, hence write :
(2^1001+2^1000)/3 as a power of 2

Answer 1

\[2^{n+1}+2^{n}=2^{n}(2^{1}+1)=2^{n}(3)\]

Answer 2

=(2^n(2^1)+2^n)/3
=(2^n(3))/3
=3(2^n)/3
=2^n

Therefore,
when n=1000
2^n=
2^1000=
1.07150861 × 10^301

Answer 3

And
\[\frac{2^{n}(3)}{3}=2^{n}\]

Answer 4

So
\[\frac{2^{1001}+2^{1000}}{3}=2^{1000}\]

Answer 5

ok, i am understand now....

Answer 6

Good.