Mathematics
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OpenStudy (anonymous):
simplify
(x^1/4)^4/9
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jimthompson5910 (jim_thompson5910):
use the rule
(a^b)^c = a^(b*c)
OpenStudy (anonymous):
x^7/36?
jimthompson5910 (jim_thompson5910):
how are you getting 7?
OpenStudy (anonymous):
4?
jimthompson5910 (jim_thompson5910):
is 1/4 really 7/4?
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OpenStudy (anonymous):
over 13
jimthompson5910 (jim_thompson5910):
all you need to do is multiply the exponents 1/4 and 4/9
jimthompson5910 (jim_thompson5910):
make sure to reduce as much as possible
OpenStudy (anonymous):
would it be 4/13?
jimthompson5910 (jim_thompson5910):
no
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OpenStudy (anonymous):
25/36
jimthompson5910 (jim_thompson5910):
hopefully you're not just guessing the answer choices
OpenStudy (anonymous):
9*4=36
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
the numerators multiply to ?
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OpenStudy (anonymous):
4
jimthompson5910 (jim_thompson5910):
so it's 4/36 which reduces to what?
OpenStudy (anonymous):
1/9
jimthompson5910 (jim_thompson5910):
thats the exponent of the answer
OpenStudy (anonymous):
how abou ths one?
Simplify (7 – 2i) – (3 + 9i)
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jimthompson5910 (jim_thompson5910):
Hint: (7 – 2i) – (3 + 9i) = 7 – 2i – 3 - 9i
OpenStudy (anonymous):
4-11i
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
don't forget, when you're distributing that negative through, it has to go to each term inside
OpenStudy (anonymous):
solve sqrt x+3-3=x
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jimthompson5910 (jim_thompson5910):
sqrt(x+3) - 3 = x
sqrt(x+3) = x+3
x+3 = (x+3)^2
x+3 = x^2+6x+9
I'll let you finish
OpenStudy (anonymous):
x=-2 x=-3
jimthompson5910 (jim_thompson5910):
now check those potential answers
OpenStudy (anonymous):
-3 doesnt work
jimthompson5910 (jim_thompson5910):
whys that
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OpenStudy (anonymous):
wait -3=-3
jimthompson5910 (jim_thompson5910):
so that confirms -3
jimthompson5910 (jim_thompson5910):
what about -2
OpenStudy (anonymous):
the both work
jimthompson5910 (jim_thompson5910):
yep
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jimthompson5910 (jim_thompson5910):
sometimes only one works or sometimes none work, so that's why you need to check both
OpenStudy (anonymous):
Explain, in complete sentences, how you might show that radicals should be simplified before being added or subtracted to another radical.
jimthompson5910 (jim_thompson5910):
what do you think on this one
OpenStudy (anonymous):
i honestly dont knoe
jimthompson5910 (jim_thompson5910):
well think about it for a sec
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jimthompson5910 (jim_thompson5910):
how would you simplify any radical
OpenStudy (anonymous):
square root
jimthompson5910 (jim_thompson5910):
yes how would you simplify those
OpenStudy (anonymous):
umm
OpenStudy (anonymous):
i dont understand
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jimthompson5910 (jim_thompson5910):
how would you simplify something like sqrt(48)
OpenStudy (anonymous):
square 48