Homework Helpers discussion

Caroline is able to help with all math through Algebra I. She is currently taking Geometry, so she can help with things like points, lines, and planes and the laws of syllogism and detachment.

Are you still active? I hope so because I'm struggling ;-;

I can help if you still need it. I can help with math up through Algebra II. If that's allowed, I'm not sure where I am supposed to help out, but I'm a helper. What are you struggling with?

We just started something today- it's rules of exponents and power of powers and stuff like that. I think that's algebra 1?

Can you give me a problem or example so i can break it down? I think i know what you are talking about, but i need to make sure i'm explaining the right thing. :)

Sure, I'll give an example of an equation. Also, I don't know how to do an exponent on here so I'll just use ^ before a number to show that it's an exponent. (3a^2) (4a^3)

Does it say to simplify the equation?

uh- it says 'multiply the monomials' which I think means combine them. So kind of?

https://www.wikihow.com/Multiply-Poly...

So basically that?

Yeah! exactly that! Okay, that actually helps a lot.

Just add in exponents or whatever

(3a^2) (4a^3)
Multiply the first terms 3a×4a, then multiply the exponents, ((basically just addition because they are exponents)) ^2+3
12a^2+3
12a^6

Ok! Wow, you explained that a lot better than my teacher. Thank you!

Np! If you need help again don't hesitate to ask. :)

Vivien of the Icewings wrote: "We just started something today- it's rules of exponents and power of powers and stuff like that. I think that's algebra 1?"

I'm still active! I'd be happy to help with anything you need in the future!

116 degrees?

Rachel wrote: "(3a^2) (4a^3)
Multiply the first terms 3a×4a, then multiply the exponents, ((basically just addition because they are exponents)) ^2+3
12a^2+3
12a^6"

sorry, but 2+3=6? 2x3=6, right?
Lets put it to the test, OK? for a=1
3a²=3²=9
4a³=4³=64
9x64=576

12^5=248.832 not quite the same, are they? For 12^6 it gets even worse!
Monique.

Monique wrote: "Rachel wrote: "(3a^2) (4a^3)
Multiply the first terms 3a×4a, then multiply the exponents, ((basically just addition because they are exponents)) ^2+3
12a^2+3
12a^6"

sorry, but 2+3=6? 2x3=6, right?..."

Yup. I was half brain dead at that moment. 2+3=5, idk where i got 6 from. The answer should be 12^5, if it says 12^6 in the book then i am wrong about the addition part. Its actually multiplication. It's hard to tell which one to do because i haven't seen the book. If i had the book it would be so much easier because then i'd know which way they want it.

The real solution is this:
12 times a^5 is still 12.
3a² times 4a³ = a²x a³ = 12 times a^5 if a = 1 then a²=1 and a³=1
so 12
for a=2 we get. 3x2²= 3x 4=12
4X 2³= 32 means 12x32=384
so, with brackets like that you FIRST calculate the exponency ( here 2² et 2³ so we get (3 times 4=12) times (4 times 2³=4 times 8 =32)
32 times 12 = 384

Ok, lesson learned. I suck at explaining things to people unless its in real life. Won't try that again. Thanks for explaining Monique! :)

the formula with the addition only applies to simple( single figure) exponts for a² times a³ = (2x2)(2x2x2)=32 or 2^5

so if we now add the other factors:
(3x2x2=12)( 4x2x2x2=32) so 12X32=384

I hope that makes thing more clear? The brackets always need to find their result first for the final calculation, so 3xa² needs to be calculated first, then 4 times a³ then both results times each other.
That means we have here 12 (3 times 4) times (a^5) equals
12 times(2x2x2x2x2) =12 times 32=384!

Rachel wrote: "Ok, lesson learned. I suck at explaining things to people unless its in real life. Won't try that again. Thanks for explaining Monique! :)"

Hey Rachel,
I have dealt with using maths professionally since practically half a decade. If I have learned anything from it it is:
1) you got to be fully there and awake and
2) you always explain best with an actual calculation. That is what teachers should do step by step on the blackboard (like they did in my youth) it helped everyone to keep up.
3) For Geometry you need to understand the origin of the word (Greek: measuring the earth). Maths actually enabled Aristoteles to calculate the fact, that earth was a globe and had the diameter it has, by observing the amount of water surface in sunlight in a well in Alexanderia at lunchtime and comparing it to a well near the temples where nowadays is Assuan. His calculation of the earths circumfence wasn't off by more than a mile, actually, some 500 years before Christ! Geometry needs practical experience more than anything.

I hope my insights will help you all to enjoy Maths more.

Monique wrote: "Rachel wrote: "Ok, lesson learned. I suck at explaining things to people unless its in real life. Won't try that again. Thanks for explaining Monique! :)"

Hey Rachel,
I have dealt with using maths..."

Thanks Monique! That bit about Aristotle is very interesting, and I definitely won't help with anything when i am exhausted. :)