Question

Let a be any positive number then:
(-a)^(1/2)
=(-a)^0.5
=(-a)^(0.48 + 0.02)
=(-a)^(0.48) * (-a)^(0.02)
=(-a)^(48/100) * (-a)^(2/100)
= [{(-a)^(48)}^(1/100)] * [{(-a)^(2)}^(1/100}]
= [{(a)^(48)}^(1/100)] * [{(a)^(2)}^(1/100}]
=(a)^(0.48) * (a)^(0.02)
=a^0.5
=a^(1/2)
[WHAT IS WRONG]

Answer 1

(-a)^(1/2)

Using these can you tell me which ones are right?

Answer 2

\[ -a = \sqrt{(-a)^2} = \sqrt{a^2} = a \]
tell me what's wrong here? I'll tell you what's wrong there.

Answer 3

I dont think I have squared and undid it again. I have just divided the number into different parts.

Answer 4

(-a)^(48) = (a)^(48) <--- this is what you did

Answer 5

Yes that is what I did.
Isn't (-a)^(48) = (a)^(48) true

Answer 6

you ignored 1/100
negative number do not love fractional power

Answer 7

it seems that i might have mistaken ... i'll update it a bit later.