I am so lost right now, can someone please help? This is properties of exponents 10th grade level. will post it below --

Question

I am so lost right now, can someone please help? This is properties of exponents 10th grade level. will post it below -->

bookworm14 · Answer

$$(\frac{ 2yx^2*-y^-1z^0 }{ x^-3*2y^0z^-1 })~~ ^3$$

bookworm14 · Answer

I got -y^3 x^15 z^3 , but i tried to used an online slover to check and it got something different so now im confused

jim_thompson5910 · Answer

Is this the problem?

$$\Large \left(\frac{2yx^2*-y^{-1}z^0}{x^{-3}*2y^0z^{-1}}\right)^3$$

bookworm14 · Answer

Yes

jim_thompson5910 · Answer

I'm not getting the same answer you got

bookworm14 · Answer

I just got all mixed up, i know how to solve these but i saw this and my mind went blank

jim_thompson5910 · Answer

notice how we have a 'y' term without an exponent up top

that's the same as y^1

what is y^1 times y^(-1) equal to?

bookworm14 · Answer

y^0 or y^-1 I don't know if i should add them or multiply

jim_thompson5910 · Answer

add

$$\Large y^1*y^{-1} = y^{1+(-1)} = y^0$$

jim_thompson5910 · Answer

anything to the zeroth power is 1, so y^0 = 1

bookworm14 · Answer

ok so that elliminates y

jim_thompson5910 · Answer

yes so y is nowhere in the final answer

jim_thompson5910 · Answer

the same would be said about z since z^0 = 1 up top

but there is a z^(-1) down below that changes things

bookworm14 · Answer

sorry if i have any late replies, i am making sure i right this down

jim_thompson5910 · Answer

that's fine

jim_thompson5910 · Answer

I also forgot about the y^0 down below, that also turns into 1 but I'm sure you see that by now

bookworm14 · Answer

yes, i got that part :)

jim_thompson5910 · Answer

ok great

bookworm14 · Answer

ok right now i have x^6 / x^-9 z^-3 ? am i close

jim_thompson5910 · Answer

good. I would have taken another route: simplify the inner stuff before multiplying the exponents. Either way works though.

jim_thompson5910 · Answer

now simplify $$\Large \frac{x^6}{x^{-9}z^{-3}}$$

bookworm14 · Answer

x^15 z^3 ?

jim_thompson5910 · Answer

correct

jim_thompson5910 · Answer

oh one last thing though. There's a negative in there. When you cube -1 you get -1

so the result is negative

bookworm14 · Answer

the online solver somehow got -x^6 z^3 / x^-9 , is my simplified answer still correct?

jim_thompson5910 · Answer

well the solver didn't fully simplify

jim_thompson5910 · Answer

the x^6 over x^(-9) simplifies to x^15

bookworm14 · Answer

i used cymath.com (because it shows me steps) and ohhhh okay

jim_thompson5910 · Answer

so the final answer that I'd go for is $$\Large -x^{15}z^3$$ since that's the most simplified in my view

bookworm14 · Answer

okay :) so i was almost right in the beginning i just included "y" which wasn't supposed to exist lol thank you!

jim_thompson5910 · Answer

you're welcome, you did really good on it