Mathematics
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OpenStudy (anonymous):
can someone show me hot to find the quotient for 8a^6/2a^3
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jimthompson5910 (jim_thompson5910):
8 divided by 2 = 4
jimthompson5910 (jim_thompson5910):
a^6 divided by a^3 is a^3 (you subtract the exponents)
jimthompson5910 (jim_thompson5910):
so the final quotient is 4a^3
OpenStudy (anonymous):
oh awessome! i did it right!!!!
jimthompson5910 (jim_thompson5910):
ok that's great
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OpenStudy (anonymous):
what about one like...
-9m^7n^4/-3m^4n^3
jimthompson5910 (jim_thompson5910):
-9 divided by -3 = ???
OpenStudy (anonymous):
3
jimthompson5910 (jim_thompson5910):
m^7 divided by m^4 = ??
OpenStudy (anonymous):
i thought you subtract the exponents
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jimthompson5910 (jim_thompson5910):
you do
jimthompson5910 (jim_thompson5910):
so what do you get
OpenStudy (anonymous):
3m^3n?????
jimthompson5910 (jim_thompson5910):
very good
jimthompson5910 (jim_thompson5910):
you nailed it
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OpenStudy (anonymous):
YAYYYY! okay wait what about doing one likeee...
simplifying (4p^3/3q^2)^2
jimthompson5910 (jim_thompson5910):
square each term
jimthompson5910 (jim_thompson5910):
so square 4p^3 to get ???
OpenStudy (anonymous):
16p^6
jimthompson5910 (jim_thompson5910):
now square 3q^2
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OpenStudy (anonymous):
9q^4
OpenStudy (anonymous):
then 16 times 9?
jimthompson5910 (jim_thompson5910):
no it's a fraction remember?
OpenStudy (anonymous):
OHHHH
OpenStudy (anonymous):
waqit so just leave i as a fraction.. like
16p^6/9q^4
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jimthompson5910 (jim_thompson5910):
exactly
OpenStudy (anonymous):
hmmmm okay. what about one that as simple as (-10)^3 just evaluating that..
OpenStudy (anonymous):
pr 2^-4
OpenStudy (anonymous):
or*
jimthompson5910 (jim_thompson5910):
(-10)^3 is just -1000
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jimthompson5910 (jim_thompson5910):
you cube 10 and make it negative
OpenStudy (anonymous):
oh alright...so for the second one how would i do that
jimthompson5910 (jim_thompson5910):
for the second one you would use the idea that
x^(-k) = 1/(x^k)
jimthompson5910 (jim_thompson5910):
so
2^(-4) = 1/(2^4) = ???
OpenStudy (anonymous):
wait..... what?
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jimthompson5910 (jim_thompson5910):
In other words, I did this
|dw:1363734902432:dw|