idk if that's positive or negative 52/25

[south compass]

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[jovial pumice]

is texit here

$$ \frac{13m^3n^8}{25m^6} $$

[cursive cave]

rynite

[jovial pumice]

that's the simplest form, right?

yea I think its right, so when I plug in the numbers, I get it -52/25

but when I plug them into the initial equation (without simplifying) I get 52/25

why tf is that

[steel cipher]

$\sqrt{m^2}=|m|$, so if $m$ is negative, then $\sqrt{m^2}=-m$

[cursive cave]

Civil Service Pigeon

[jovial pumice]

so the answer is positive, right?

[steel cipher]

Yes, the answer should be positive.

[jovial pumice]

okay thanks, I have a similar question, and it's the same thing, I plug the numbers into the initial equation and the output is a positive number, but when plugging it to the *simplified equation the output is negative

[steep wind]

@jovial pumice has given 1 rep to @steel cipher

[jovial pumice]

$\frac{n^{1.5}}{m^{0.2}}$

[cursive cave]

rynite

[jovial pumice]

that's the simplified equation, is this because of the same thing?

[steel cipher]

Yes, it's the same thing.

[jovial pumice]

oh, positive 2?

the answer I mean

and is the key here if I understand correctly is that if the power is even, the product has to always be positive so we put a | | around the variable?

[jovial pumice]

actually not the power, I meant the index of the radical

$\sqrt[4]{-5}$

that's not valid for example I guess

[cursive cave]

rynite

[maiden pumice]

I'd like to ask what you mean, @jovial pumice , by 'not valid'...?

I just did a quick online search and found a 4th root calculator because I'm rusty. It showed me that there is a 4th root for -5, which has two components, one real and one imaginary. I had forgotten this.

I hope I am understanding the context of this conversation okay.

It gave, in fact, four answers.

[jovial pumice]

yeah I mean calculating the 4th root of -5 on my calc results in MATH ERROR, this behavior makes sense if I am understanding correctly 😅

[maiden pumice]

It's just imaginary.

It has an i component, that's all.

[jovial pumice]

oh, didn't know that. thanks!

[maiden pumice]

No problem! Do you want to see the screenshot of the answer I found on that calculator, or would that be cheating?

I guess it's not important, that's cool. I'll talk you later. Glad to help.

[steel cipher]

Honestly I would just always put the absolute value and then remove it if you can afterward

[jovial pumice]

alr, thanks 👍

[steep wind]

@jovial pumice has given 1 rep to @steel cipher

[steel cipher]

Anything else before I close this?

[jovial pumice]

nope 😁

[steel cipher]

👍

+close