Can someone explain this question and how they got to the answer? I'm quite bad at indice rules

[vivid beacon]

as i thought you'd needed to do 6 - - 2/3 after cube rooted it etc

as thats what the rules state

and how does the -1 get there? wouldn't the 2 - - 2 calculation completely cancel out the indice/

[little robin]

ok

give me a few mins

[drifting warren]

ah this would be true if it was x^6 * x^-2/3

but

$\left(x^{a}\right)^{b} = x^{ab}$

[royal turtle]

secp256k1

[little robin]

they squared everything first

[drifting warren]

cube root, simplify fraction inside bracket, square, reciprical

[vivid beacon]

they cubed everything first

[vivid beacon]

so how does it get to y^2 on step 3?

oh right because 1 * -2 isnt it

[drifting warren]

yes

square top and bottom of the fraction

[vivid beacon]

but wouldnt that make a minus

[drifting warren]

wdym

[vivid beacon]

2 x -2 = -4
1 x -2 = -2

[drifting warren]

if you wrote it as $$\left(\left(\frac{2x^2}{y}\right)^{2}\right)^{-1}$$ does that make it easier to see

[vivid beacon]

ok lets just start from the beginning

[royal turtle]

secp256k1

[vivid beacon]

this is the question

[drifting warren]

yes

[vivid beacon]

i know that you'd cube root everything first

[drifting warren]

yes

[vivid beacon]

then all of that

but where does the -1 come from

[vivid beacon]

in thid

[drifting warren]

you have a power of -2/3

[little robin]

this could explain where -1 came from

[drifting warren]

the cube root is just a power of 1/3

the -1 represents a reciprocal of the fraction

[vivid beacon]

oh so you just made the 2 positive

[little robin]

ye

but

to the power of -2

just means

flip everything

and raise everything to the power of 2

[vivid beacon]

ahhh

i think my logic is a bit behind ngl

[little robin]

just break the question in simple steps

[vivid beacon]

yeah i probably should do that

[vivid beacon]

what about these types of qs?

[drifting warren]

well 4 = 2^2