Choose the correct simplification of the expression (3x)4.
81x4
12x5
81x5
12x4
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OpenStudy (jlastino):
Its equal to 3^4 x^4 or
3^2 3^2 x^4
you know what 3^2 is right?
OpenStudy (anonymous):
\[(xy)^a=x^ay^a\] what Jlastino said^
OpenStudy (anonymous):
yea 3^4 is 81. 3^2 is 9.
OpenStudy (anonymous):
where did you get 3^2 from ?
OpenStudy (anonymous):
from what jlastino said?
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OpenStudy (anonymous):
wait so all i do is raise 3 to the forth power and x also the the forth power?
OpenStudy (anonymous):
exactly :)
OpenStudy (anonymous):
okay that helps, i had thought so but was unsure.
OpenStudy (anonymous):
so with (xyz^2)^4 i would do the same?
OpenStudy (anonymous):
yes, you just need to remember that \[\large(x^a)^b=x^{ab}\] for that z-term
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OpenStudy (anonymous):
so i would come out with. x^4y^4z^16?
OpenStudy (anonymous):
no wait 8
for z
OpenStudy (anonymous):
right :)
good job :)
OpenStudy (anonymous):
Awesome thanks :D
OpenStudy (anonymous):
very welcome :)
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OpenStudy (anonymous):
Part 1: Explain, using complete sentences, how to simplify the expression below.
Part 2: What is the simplified expression?
(3x3y4)2
I got the simplified expression of 9x^9y^16?