Mathematics
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OpenStudy (31356):
Polynomial help!
(3c^2 d^2)(-5cd^4)^2
MEDAL REWARDED & FAN!!
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OpenStudy (31356):
@poopsiedoodle
@jim_thompson5910
@phi
@rose21
OpenStudy (31356):
@thomaster
OpenStudy (31356):
@Jigglypuff123
OpenStudy (31356):
Any ideas?
OpenStudy (mathmale):
Hello, Friend31356, are you certain that this problem involves a polynomial?
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OpenStudy (31356):
Very certain, this HW is titled Pondering Polynomials, so it must be.
OpenStudy (mathmale):
What it says it says, but what it says is not necessarily the truth! I see a negative quantity, but I do not see addition/subtraction of terms.
OpenStudy (31356):
Any ideas how to solve it or steps to get the answer?!
OpenStudy (mathmale):
I do see that "Order of Operations" rules are called for. Familiar with those?
OpenStudy (31356):
Definitely
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OpenStudy (mathmale):
To start out solving this problem, we MUST do the exponentiation first.
What is (-5cd^4)^2?
OpenStudy (31356):
-10c^2d^8? Is it correct, I am assuming?
OpenStudy (mathmale):
If you like, you could break that down into \[(-5)^{2}c ^{^{2}}(d ^{4})^{2}\]
OpenStudy (mathmale):
Where did that -10 come from?
OpenStudy (31356):
I learned it from Math today, I am positive.
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OpenStudy (mathmale):
Remember, Friend 31356, " ^ " represents exponentiation, not multiplication.
OpenStudy (31356):
-5*2=-10
OpenStudy (31356):
Right?
@mathmale
OpenStudy (mathmale):
You are multiplying. No Please raise (-5) to the 2nd power (exponentiation).
OpenStudy (31356):
-25?
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OpenStudy (mathmale):
\[5^{2}=25;(-5)^{2}=?\]
OpenStudy (31356):
-25
OpenStudy (mathmale):
(-2)(-2)=?
OpenStudy (31356):
4
OpenStudy (mathmale):
(-5)(-5)=?
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OpenStudy (31356):
25
OpenStudy (mathmale):
(-5)^2=?
OpenStudy (mathmale):
Bet you know very well that (-5)^2 = (-5)(-5).
OpenStudy (31356):
25
OpenStudy (31356):
Oh. I get it
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OpenStudy (31356):
LOL
OpenStudy (mathmale):
Cool. So, Friend, (-5cd^4)^2 = ?
OpenStudy (31356):
25 c^2 d^8
OpenStudy (31356):
Right? @mathmale
OpenStudy (31356):
Thanks for the medal!
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OpenStudy (mathmale):
Very nice! Notice that I've awarded you a real medal for good work?
OpenStudy (31356):
Indeed
OpenStudy (31356):
Notice that I've awarded you a real medal for good explanation? LOL
OpenStudy (mathmale):
Indeed.
Now please multiply your latest result by 3c^2d^2, and y ou'll then be done. And thank you for the medal!
OpenStudy (31356):
My pleasure
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OpenStudy (31356):
I understand the rest now thanks!
OpenStudy (mathmale):
Very happy to work with you. Keep up the good work. Post some more questions! Bye for now.
OpenStudy (31356):
Ok