Simplify
\[2^{k}+2^{k}\]
a+a=2a
@Directrix @satellite73 @saifoo.khan @jim_thompson5910
It should be 2^(k+1). 2^(k)+2^(k)=2*2^k=2^1+2^k=2^(k+1)
i cant really understand that sorry :( can u put using the equation button?
Sure. Ah I also put addition in there by mystake \[2^{k}+2^{k}=2*2^{k}=2^{1}*2^{k}=2^{k+1}\]
oh okaii much better :D but why is 2 * 2^k = 2^1 * 2^k
Because 2=2^1
yeah silly me... and then it would be 2^(k +1) since you add the exponents, right?
and where did u get the 2 in 2 * 2^k
\(x+x=2x\) \[2^z+2^z=2\times 2^z\] \[2^k+2^k=2\times 2^k\]
one something plus another something is equal to two times something \[\diamondsuit +\diamondsuit =2\diamondsuit\]
now \[2\times 2^k=2^1\times 2^k=2^{k+1}\] by the laws of exponents
oh okaii thanx @satellite73 & @Xavier
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