I need help with this

[tropic meadow]

@delicate wraith I can walk you through this

Here’s a power rule that you Will want to memorize

$a^{-b} = \frac{1}{a^{b}}$

[static drift]

@tropic meadow

[tropic meadow]

Substitute these variables from and b

Answer: ||3^n||

[delicate wraith]

I understand that part however the answer says 3^-1^-n

I dont understand why 3 has an exponent of negative 1?

[delicate wraith]

in the question they rewrote it like this

[delicate wraith]

dosent the exponent one have to be positive?

[rigid marsh]

Ok first things first:

(3^(-1))^(-n) = 3^n is this

But the task you provided has a different result

[delicate wraith]

yes

[rigid marsh]

and the answer is 3^n?

Or like (3^(-1))^(-n) = 3^n

[delicate wraith]

İts like the second one

you are supposed to flip 1/3 but the answer is (3)^-1^-n

[rigid marsh]

It's the same

$(3^{-1})^{-n} = 3^{-1 \cdot (-n)} = 3^n$

[static drift]

adonhs

[delicate wraith]

but why not write it as $3^n$

[static drift]

polina.love

[rigid marsh]

$\bigg(\frac{1}{3}\bigg)^{-n} = (3^{-1})^{n}$

[static drift]

adonhs

[delicate wraith]

I want to know why the answer for

$(1/3)^-n$

[static drift]

polina.love

[rigid marsh]

use {}

[delicate wraith]

${1}{3}^-n$

[rigid marsh]

$\bigg(\frac{1}{3}\bigg)^{-n}$?

[static drift]

adonhs

[delicate wraith]

$\bigg(\frac{1}{3}\bigg)^{-n} = (3^{-1})^{n}$

[static drift]

polina.love

[delicate wraith]

why is this fraction

written as:

[rigid marsh]

Why is this true ur asking?

[delicate wraith]

$(3^{-1})^{n}$

[static drift]

polina.love

[rigid marsh]

giiirl whats ur question

[delicate wraith]

why is it written like this

[rigid marsh]

so why its true

[delicate wraith]

I want to know why its written like this $(3^{-1})^{n}$

[static drift]

polina.love

[delicate wraith]

yes

[rigid marsh]

We can pull the -1 in

$\bigg(\frac{1}{3}\bigg)^{-n} = \bigg(\frac{1}{3}\bigg)^{(-1)n} = \bigg(\bigg(\frac{1}{3}\bigg)^{-1}\bigg)^{n} = 3^{n}$

shoot i am stupid

[static drift]

adonhs

[rigid marsh]

mb😭🥲

[delicate wraith]

no its fine lmao Im the dumb one for asking such an easy question Im going to fail 😢

[delicate wraith]

the thing is I understand that the fraction equals 3^n but why write it as 3^-1^n?

or since they are both equal it dosent matter how you rewrite the fraction with the negative exponent

[rigid marsh]

You mean $(3^{-1})^n$?

[static drift]

adonhs

[rigid marsh]

They are not the same

[delicate wraith]

yes why is it written like that instead of 3^n

[rigid marsh]

They are not the same

[delicate wraith]

hm ok

[rigid marsh]

One is actually 3^n and the other you refer is (1/3)^n

[delicate wraith]

you are supposed to flip fractions with negative exponents right?

[rigid marsh]

yes

i be brb in 5 mins to help u solve this

[delicate wraith]

ok no prob

[rigid marsh]

ok bro so did you try to solce it by yourself?

[delicate wraith]

can I send a video explaining myself

[rigid marsh]

sure haha

[delicate wraith]

ok hang on for 5 minutes

[rigid marsh]

5min video💀

[delicate wraith]

nooo i mean wait for me to record and send it

[rigid marsh]

cant u send ur paper

math speaks 1000 words

[delicate wraith]

this is how I rewrote the question

[rigid marsh]

I see mistakes

[delicate wraith]

ok what are they

[rigid marsh]

(1/3)^(-n) = 3^n

-9 = -3^2 not -3^3

[rigid marsh]

I get your task now, you have to solve for n

I thought this was some math sequence or some

[delicate wraith]

yes I have to solve for n

[rigid marsh]

n = 2 looks correct

[delicate wraith]

ok cool I think I get it now

[rigid marsh]

Yes the steps are correct

And you said you are gonna fail lmao

[delicate wraith]

I hate how long it is

[rigid marsh]

You gon smash that test

[delicate wraith]

I hate long math steps

[rigid marsh]

Better to hate them then to not get them

[delicate wraith]

Im gonna smash it alright 🕶️

[delicate wraith]

that is true

[delicate wraith]

thank you for the help I appreciate it

[rigid marsh]

thank me by passing😎

[delicate wraith]

Of course, if I ever become a top engineer more than half my earnings will go to you 😎

[rigid marsh]

.solved