Mathematics
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OpenStudy (anonymous):
Choose the correct simplification of the expression (c2)9.
c18
c11
c512
c
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jimthompson5910 (jim_thompson5910):
similar example
\[\large (c^3)^4 = c^{3*4}\]
\[\large (c^3)^4 = c^{12}\]
note: this isn't the answer to your question as it's just a similar example
OpenStudy (anonymous):
what about this?Choose the correct simplification of the expression c2 • c9.
c11
c7
c18
c
would it be c18?
jimthompson5910 (jim_thompson5910):
no, now you're going to add the exponents (instead of multiplying them)
OpenStudy (anonymous):
so c11
jimthompson5910 (jim_thompson5910):
yep \(\large c^{11}\)
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OpenStudy (anonymous):
what do you do for this? (8x2)3
jimthompson5910 (jim_thompson5910):
raise each piece to the 3rd power
jimthompson5910 (jim_thompson5910):
(8x^2)^3 = 8^3 * (x^2)^3 = ???
OpenStudy (anonymous):
512x6?
jimthompson5910 (jim_thompson5910):
good
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jimthompson5910 (jim_thompson5910):
\[\large 512x^6\]
OpenStudy (anonymous):
what do I do with this?
Choose the correct simplification of the expression (x2y)2.
x4y3
x6y6
x4y2
xy4
jimthompson5910 (jim_thompson5910):
square each piece
OpenStudy (anonymous):
what do you mean?
jimthompson5910 (jim_thompson5910):
square x^2 to get ____
square y to get ____
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OpenStudy (anonymous):
its b
jimthompson5910 (jim_thompson5910):
(x^2)^2 = ???
OpenStudy (anonymous):
x^6
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
idk how you got 6
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OpenStudy (anonymous):
multiplying 2, 2 times
jimthompson5910 (jim_thompson5910):
i see, no you just say 2*2 = 4
jimthompson5910 (jim_thompson5910):
(x^2)^2 = x^4
OpenStudy (anonymous):
xy^4?
jimthompson5910 (jim_thompson5910):
no
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jimthompson5910 (jim_thompson5910):
the 4 is for the x, not the y
OpenStudy (anonymous):
ohh so x^4y^2
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
thank you
jimthompson5910 (jim_thompson5910):
np