# Misc. questions on powers and surds.

• Apr 26th 2011, 12:04 AM
dumluck
Misc. questions on powers and surds.
and everyone knows I fit that bill...

1. If \frac{1}{2}^ - 3 = 2^3 ; why does 2^-17 not equal 1/2 ^17?

2. if \sqrt{7} + \sqrt{7} can be denoted as \sqrt{7 + 7} ; why can't the (\sqrt{7} + \sqrt{7})^2 be denoted as (\sqrt{7 + 7})^2 = 14?

3. if m^ -1 = - \frac{1}{3}. would m^ 1 = - 3, AND would m^ -2 = 1/9?

4. if we have a simplified function \frac{\sqrt(n+1) + \sqrt{n}}{n+1 - n} , how does the denominator divided into the numerator give us the numerator?

5. You have a term (10^4 - 10^2)(0.0012 repeated). My initial instincts would be (10^4 - 10^2) = (10^2) and multiply that by (0.0012 repeated). I would assume I'm wrong?

6. Why isn't latex working :)?

I'll grasp this if it kills me!
• Apr 26th 2011, 12:10 AM
Prove It
1. It does...

2. \sqrt{7} + \sqrt{7} can NOT be denoted as \sqrt{7 + 7}.

3. Yes

4. Surely the denominator is just 1, so your whole fraction simplifies to \sqrt{n + 1} + \sqrt{n}...

5. Try converting 0.001222222222(repeated) to a fraction.

6. To teach us all how to write unambiguously...
• Apr 26th 2011, 06:16 AM
topsquark
Quote:

Originally Posted by dumluck
6. Why isn't latex working :)?

Post number 8 of this thread offers a temporary solution.

-Dan