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Exponential equations

linapril

New member
Dec 21, 2012
23
I need help with understanding two questions:
1. (2x+2)2
The answer I got was: 22x+2x++4, but according to the answers that is wrong. Can any explain why?

2. 84x/32x
I simplified this to become (84/32)x, but I don't know how to go from there... The answer is apparently 27x, but I don't understand how that can be...

Would appreciate the help enormously,
//APRIL
 

linapril

New member
Dec 21, 2012
23
Nevermind, I understood question 2 now, but question 1 is still a mystery to me...
 

Jameson

Administrator
Staff member
Jan 26, 2012
4,042
I need help with understanding two questions:
1. (2x+2)2
The answer I got was: 22x+2x++4, but according to the answers that is wrong. Can any explain why?
I think the middle term is wrong. The first and the last terms look good though. Check your work and if you still don't see it then post your attempt and we'll help you sort it out :)
 

Prove It

Well-known member
MHB Math Helper
Jan 26, 2012
1,403
I need help with understanding two questions:
1. (2x+2)2
The answer I got was: 22x+2x++4, but according to the answers that is wrong. Can any explain why?

2. 84x/32x
I simplified this to become (84/32)x, but I don't know how to go from there... The answer is apparently 27x, but I don't understand how that can be...

Would appreciate the help enormously,
//APRIL
$\displaystyle \begin{align*} \left( 2^x + 2 \right)^2 &= \left( 2^x \right)^2 + 2\cdot 2\cdot 2^x + 2^2 \\ &= 2^{2x} + 2^{x + 2} + 2^2 \end{align*}$