Why is raising a number to the power of 1/2 the same as finding the square root of the number?
Can someone please help. Please provide examples. I would appreciate it if you guys can help as soon as possible.
4 answers
Patience, child. I've deleted 3 of these duplicate posts in the last few minutes. Do not post this question again for at least 3 hours.
Sorry, I didn't know that you delete duplicate posts. I have only just started using this site a couple days ago.
We know that
(√x)^2 = x , by the very definition of √x
suppose we take x(1/2) and square it
(x^(1/2)^2
by the exponents rules this would be
x( (1/2)(2) )
= x
so (√x)^2 = (x^(1/2) )^2
then √x = x^(1/2)
so x^(1/2) behaves the same way as √x
by the same argument we can show that
x^(1/3) is the same as ∛x
x^(1/4) is the same as ∜x
etc
(√x)^2 = x , by the very definition of √x
suppose we take x(1/2) and square it
(x^(1/2)^2
by the exponents rules this would be
x( (1/2)(2) )
= x
so (√x)^2 = (x^(1/2) )^2
then √x = x^(1/2)
so x^(1/2) behaves the same way as √x
by the same argument we can show that
x^(1/3) is the same as ∛x
x^(1/4) is the same as ∜x
etc
Thank you. I appreciate it.
1 answer