My teacher taught this in class but i dont quite understand it, can someone break it down for me?

[fallow lance]

I struggle a lot in math so if theres a tip or trick u have to do questions like these, it would help!

[fallow lance]

Heres another that i dont understand! When the exponent is a negative, what happens?

BTW!! DO NOT GIVE ME THE ANSWER!! My teacher teaches by showing an equation and giving the answer and i do not learn that way.

In the kindest way possible, please explain what to do and WHY u do it so that i understand it and can do it on every other question

[raw kernel]

$a\div \frac{b}{c} = a \times \frac{c}{b}$

[still summit]

someone1010

[raw kernel]

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

[still summit]

someone1010

[fallow lance]

Can u use this on the equation and show me?

Im kind of confused

[remote compass]

I'll give you an example. 4x^35y^{-5}\cdot \frac{9x^27y^7}{4x^3y^{-4}} is an example problem

the first term, 4x^35y^{-5} simplifies to \frac{:4x^3}{5y^5} because 5y^{-5} has a negative exponent, meaning it gets brought down.

In the second term, u have dividing.

try to figure that one out using exponent laws.

[willow canopy]

In addition to the wonderful help others have provided, you might like a video such as this one https://www.youtube.com/watch?v=Zt2fdy3zrZU

[fallow lance]

Thank UUUU SO MUCH

[fallow lance]

Wait can someone help me again?

How do i solve this?

[finite tinsel]

$a^x \cdot a^y=a^{x+y}$

[still summit]

oxil764

[finite tinsel]

And $a^{1/2}=\sqrt{a}$

[still summit]

oxil764

[fallow lance]

OHHHHH

WAIT BRO I DONT KNOW HOW TO ADD FRACTIONS 😭

I hate myself i feel so stupid for not knowing this

[willow canopy]

One of my guilty pleasures as a teacher is after my students complain that something is too easy and I tell them that they need more practice, and then it comes up a year later and I get to tell them that they should have studied more before, and also that this will happen again with the stuff they're currently studying.

But feeling stupid for not knowing something is always part of math. It's just that the "something" keeps moving forward, in general.