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Mathematics 16 Online
OpenStudy (anonymous):

Simplify

OpenStudy (anonymous):

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

OpenStudy (anonymous):

a+a=2a

OpenStudy (anonymous):

@Directrix @satellite73 @saifoo.khan @jim_thompson5910

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Because 2=2^1

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

oh okaii thanx @satellite73 & @Xavier

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