(1/2)x^5/2 + (1/2)x^-1/2 = x^4/2

[(x^3)+1]² = (x^5)+1

[t^3]² = t^5

these correct?

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- Feb 15th 2010, 12:51 PMmaybnxtseasnadding and subtracting exponents
(1/2)x^5/2 + (1/2)x^-1/2 = x^4/2

[(x^3)+1]² = (x^5)+1

[t^3]² = t^5

these correct? - Feb 15th 2010, 01:46 PMSoroban
Hello, maybnxtseasn!

I hope this is a True/False quiz . . . and not your work!

Quote:

$\displaystyle (1)\;\tfrac{1}{2}x^{\frac{5}{2}} + \tfrac{1}{2}x^{-\frac{1}{2}} \:=\: x^{\frac{4}{2}}$

$\displaystyle (2)\; [(x^3)+1]^2 \:=\: x^5+1$

$\displaystyle (3)\;[t^3]^2 \:=\: t^5$

of them are wrong . . .*All*

- Feb 15th 2010, 01:54 PMxfriendsonfirex
- Feb 15th 2010, 02:00 PMicemanfan
What's the question?

None of these equations are true in general, but all of them have a solution.

@xfriendsonfirex:

Rule #1 should be $\displaystyle a^x \cdot a^y = a^{x+y}$. - Feb 15th 2010, 02:02 PMxfriendsonfirex