Mathematics
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OpenStudy (calculusxy):
Help with exponents.
MEDAL!!
Question posted below ...
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OpenStudy (calculusxy):
\[7v^3 \times 10u^3v^5 \times 8uv^3\]
OpenStudy (calculusxy):
@jdoe0001
Mehek (mehek14):
don't you multiply
\(\bf{7*10*8}\)
and add the exponents?
OpenStudy (calculusxy):
Okay so if we do that then we will have
\[7 \times 10 \times 8 = 560\]
But how do i add the exponents?
Mehek (mehek14):
\(v^3+v^5+v^3=3+5+3=11\\v^11\\u^3+u^1\\3+1=4\\u^4\)
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Mehek (mehek14):
\(v^3+v^5+v^3=v^{11}\)
Mehek (mehek14):
add numbers
keep same variable
OpenStudy (calculusxy):
So would my answer be 560v^11v^4 ?
OpenStudy (calculusxy):
@Hero
hero (hero):
You wrote two v's your u variable is missing.
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OpenStudy (calculusxy):
Sorry i meant 560v^11u^4
OpenStudy (calculusxy):
Am I correct?
OpenStudy (calculusxy):
I really need help on this.
OpenStudy (calculusxy):
@zzr0ck3r
hero (hero):
Correct, sorry.
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OpenStudy (calculusxy):
Okay thank you. So I am going to do the next one:
\[\large 9xy^2 \times 9x^5y^2\]
OpenStudy (calculusxy):
\[\large 9x^1y^2 \times 9x^5y^2 = 81x^6y^4\]
OpenStudy (calculusxy):
@Hero
OpenStudy (abdullahm):
correct
OpenStudy (calculusxy):
Can i check more with you?
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OpenStudy (abdullahm):
absolutely :)
OpenStudy (calculusxy):
\[6m^3n^3 \times 8m^2n^3 = 48m^5n^6\]
OpenStudy (abdullahm):
correct again :)
OpenStudy (calculusxy):
\[6x^2 \times 6x^3y^4 = 36x^5y^4\]
OpenStudy (abdullahm):
correct :)
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OpenStudy (calculusxy):
\[7u^2v^5 \times 9uv^3 = 63u^3v^8\]
OpenStudy (abdullahm):
correct (:
OpenStudy (calculusxy):
\[uv \times 4uv^5 = 4u^2v^6\]
OpenStudy (abdullahm):
and correct once again c:
OpenStudy (calculusxy):
\[10xy^3 \times 8x^5y^3 = 80x^6y^6\]
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OpenStudy (abdullahm):
correct
OpenStudy (calculusxy):
\[3u^4v^5 \times 7u^2v^3 = 21u^6v^8\]
OpenStudy (abdullahm):
correct :)
OpenStudy (calculusxy):
\[(2x^2)^2 = 2x^4\]
OpenStudy (calculusxy):
\[(p^4)^4 = p^16\]
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OpenStudy (calculusxy):
\[(2x^2)^2 = 2x^4\]
OpenStudy (abdullahm):
uh-oh
OpenStudy (calculusxy):
just in case if you want to ask for (p^4)^4, my answer is p^16
OpenStudy (abdullahm):
Use the formula
\(\bf\Huge (ab)^m = a^mb^m\)
OpenStudy (abdullahm):
That one is correct
For that question, in latex you have to put p^{16}
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OpenStudy (calculusxy):
\[p^{16}\]
OpenStudy (abdullahm):
But \(\bf\Large (2x^2)^2 \neq 2x^4\)
OpenStudy (abdullahm):
So use the formula I gave you :)
OpenStudy (calculusxy):
\[\large 2^2 \times (x^2)^2\]
OpenStudy (calculusxy):
\[4 \times x^4\]
?
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OpenStudy (abdullahm):
correct :D
OpenStudy (calculusxy):
@AbdullahM I juts want to make sure a couple more if u have no problem :)
OpenStudy (abdullahm):
I would love to :)
OpenStudy (calculusxy):
thank you!
OpenStudy (calculusxy):
\[(k^3)^4\]
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OpenStudy (calculusxy):
= \[k^12 \]
OpenStudy (abdullahm):
correct :)
OpenStudy (calculusxy):
sorry i forgot the latex
OpenStudy (calculusxy):
\[k^{12}\]
OpenStudy (calculusxy):
OH wait..
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OpenStudy (calculusxy):
\[7^2 \times k^2 = 12 \times k^2\]
OpenStudy (calculusxy):
i meant 14
OpenStudy (calculusxy):
\[\large 14 \times k^2\]
OpenStudy (abdullahm):
So the question is \(\bf\Large 7^2 \times k^2 = 14 \times k^2\)
OpenStudy (calculusxy):
yes am i correct?
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OpenStudy (abdullahm):
No...
\(\bf\Large 7^2 = 7\times 7\neq 2\times 7\)
OpenStudy (calculusxy):
oh my god.. silly mistake ! sorry i meant to say 49 x k^2
OpenStudy (abdullahm):
good :)
OpenStudy (calculusxy):
\[\large (2b^2)^4 = 2^4 \times (b^2)^4 = 16b^8 \]
OpenStudy (calculusxy):
sorry but can u just say correct or incorrect really quickly? i need to go.
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OpenStudy (abdullahm):
correct
OpenStudy (abdullahm):
sorry, I was looking at another tab :p
OpenStudy (calculusxy):
thank you so much for ur help! i truly appreciate it :)
OpenStudy (calculusxy):
sorry one quick question
OpenStudy (abdullahm):
sure :D
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OpenStudy (calculusxy):
\[2n^4 \times 5n^4 = 10n^8\]
OpenStudy (calculusxy):
and \[2n^4 \times 6n^4 = 12n^8 \]
OpenStudy (calculusxy):
those are basically the same
OpenStudy (abdullahm):
correct for both :D