Question

Simplify

Answer 1

\[2^{k}+2^{k}\]

Answer 2

a+a=2a

Answer 3

@Directrix
@satellite73
@saifoo.khan
@jim_thompson5910

Answer 4

It should be 2^(k+1).
2^(k)+2^(k)=2*2^k=2^1+2^k=2^(k+1)

Answer 5

i cant really understand that sorry :(
can u put using the equation button?

Answer 6

Sure. Ah I also put addition in there by mystake
\[2^{k}+2^{k}=2*2^{k}=2^{1}*2^{k}=2^{k+1}\]

Answer 7

oh okaii much better :D
but why is 2 * 2^k = 2^1 * 2^k

Answer 8

Because 2=2^1

Answer 9

yeah silly me...
and then it would be 2^(k +1) since you add the exponents, right?

Answer 10

and where did u get the 2 in 2 * 2^k

Answer 11

\(x+x=2x\)
\[2^z+2^z=2\times 2^z\]
\[2^k+2^k=2\times 2^k\]

Answer 12

one something plus another something is equal to two times something
\[\diamondsuit +\diamondsuit =2\diamondsuit\]

Answer 13

now
\[2\times 2^k=2^1\times 2^k=2^{k+1}\] by the laws of exponents

Answer 14

oh okaii thanx @satellite73 & @Xavier