Hi, I'm having trouble understanding how to do these.
e.g. 2^1/2 + 2^3/2
e.g. 4^1/3 - 4^4/3
I know that you need to factorise them, but am unsure how to
for the first, you take out a common factor - the highest power (in this case a fraction - don`t be put of) in both numbers - ie take out 2^(1/2) so you get 2^(1/2) x (1+2) - (because you`ll get the second factor being (2^(1/2))^2= 2^1=2) =3 x (sqrt 2).
2nd one - express the 4`s as powers of 2, then do similar...
Okay... remember the following rule for indices.
(Original post by YLY)
Simplify 2^1/2 + 2^3/2 and 4^1/3 - 4^4/3
Hence we may simplify indices using this rule.
My advice is similar to that which has been given, except I've used LaTeX to make things clearer.
I hope it helps.
Alternate route to the same answer is to think of 2^(3/2) as 2^(1+1/2) = 2^1 x 2^(1/2) - law of indices = 2 x root 2.
You can do the same for 4^(4/3).
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