How do I add two numbers with exponents?

[Instinctlol]

This is a really basic problem and I just need some review.
How do I add 2^k+1 + 2^k+1?

This is where I am stuck

2¹2^k+2¹2^k

 

[eumyang]

Think of it this way. Can you add
x + x?
y + y?
something + something?
This is what the expression
2^k+1 + 2^k+1
merely is. Once you get that, then you can use the appropriate property of exponents.

 

[Instinctlol]

Think of it this way. Can you add
x + x?
y + y?
something + something?
This is what the expression
2^k+1 + 2^k+1
merely is. Once you get that, then you can use the appropriate property of exponents.

Oh I see, so it would be..

2*2^k+1 = 2^k+2

and just another one for fun

2^k+1+2^k+1+2^k+1+2^k+1 = 4*2^k+1 = 2*2*2^k+1 = 2^k+3

Does this seem correct?

 

[Mark44]

Oh I see, so it would be..

2*2^k+1 = 2^k+2

and just another one for fun

2^k+1+2^k+1+2^k+1+2^k+1 = 4*2^k+1 = 2*2*2^k+1 = 2^k+3

Does this seem correct?

Not only does it seem correct, it is correct.

 

[Instinctlol]

Cool thanks !