1. ## adding 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?

2. Hello, maybnxtseasn!

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

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

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

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

All of them are wrong . . .

3. Originally Posted by maybnxtseasn
(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?
See if these help at all:

1. $\displaystyle a^{x}*a^{y}=a^{x+y}$

2. $\displaystyle (x+y)^{2}=x^{2}+2xy+y^{2}$

3. $\displaystyle (a^{x})^{y}=a^{xy}$

4. What's the question?

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

@xfriendsonfirex:

Rule #1 should be $\displaystyle a^x \cdot a^y = a^{x+y}$.

5. Originally Posted by icemanfan
@xfriendsonfirex:

Rule #1 should be $\displaystyle a^x \cdot a^y = a^{x+y}$.
Thanks for catching that.