Mathematics
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OpenStudy (anonymous):
2yx^0 is this whole thing become 1 then cancel out or just the x??????
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jimthompson5910 (jim_thompson5910):
if the 0 is just an exponent for x, then x^0 = 1
the 2y doesn't change
jimthompson5910 (jim_thompson5910):
if you had (2yx)^0, then the whole thing would be 1
OpenStudy (anonymous):
alright thanks and btw it wasnt in parentheses so yea
jimthompson5910 (jim_thompson5910):
ok, then it's 2y
OpenStudy (anonymous):
alright what would happen next if it was (2yx^0 . x^3 y^2/2x^3 y^-2)-2
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jimthompson5910 (jim_thompson5910):
The problem is this right?
\[\Large \left(\frac{2yx^0*x^3y^2}{2x^3y^{-2}}\right)^{-2}\]
OpenStudy (anonymous):
yes lol
jimthompson5910 (jim_thompson5910):
what do you get when you simplify the numerator?
OpenStudy (anonymous):
2y .x^3 y^2
jimthompson5910 (jim_thompson5910):
what is y times y^2 equal to?
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OpenStudy (anonymous):
y^3
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
we now have
\[\Large \left(\frac{2x^3y^3}{2x^3y^{-2}}\right)^{-2}\]
jimthompson5910 (jim_thompson5910):
now try to simplify the fraction inside the parenthesis (ignore the negative -2 exponent on the very outside)
OpenStudy (anonymous):
would it be 1y^5?
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OpenStudy (anonymous):
or just y^5
jimthompson5910 (jim_thompson5910):
good,
\[\Large \left(\frac{2x^3y^3}{2x^3y^{-2}}\right)^{-2} = (y^5)^{-2}\]
jimthompson5910 (jim_thompson5910):
when you raise an exponential expression to another exponent, you multiply the exponents
OpenStudy (anonymous):
so -25? but wouldnt u flip the equation because its a negative exponent?
jimthompson5910 (jim_thompson5910):
5 times -2 is not -25
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OpenStudy (anonymous):
(1/y^5)^2
jimthompson5910 (jim_thompson5910):
yes you did a valid move, so,
\[\Large \left(\frac{1}{y^5}\right)^{2} = \frac{1^2}{(y^5)^2} = \frac{1}{y^{10}}\]
jimthompson5910 (jim_thompson5910):
be careful and notice how I got 10 as the exponent and NOT 25
jimthompson5910 (jim_thompson5910):
you're tempted to say 5^2 = 25
but it should be 5*2 = 10
OpenStudy (anonymous):
yea lol
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OpenStudy (anonymous):
4^b-3=64 idk how to do this apparently i have to make it something like 4^b-3=4^4?
jimthompson5910 (jim_thompson5910):
b-3 is the exponent?
OpenStudy (anonymous):
yes