Question

help please... im kind of struggling with my algebra
so i have this as my answer...

Answer 1

\[u ^{-1}\]

so then would this be my answer ?

\[\frac{u ^{-1} }{ -1 }\]

Answer 2

so does the exponent of -1 go on the denominator ?

Answer 3

u^(-1)=1/u^(1)= 1/u

The negative exponent goes in the denominator an turns positive

Answer 4

oh okay so then would it be - 1 /u ?

Answer 5

the confusing part i guess is that you're comparing this with a anti-derivative power rule

Answer 6

no 1/u

Answer 7

only exponents change their signs

Answer 8

can you give me an example lol

Answer 9

\[u^{-1}\]
can be written as \[\frac{ u^{-1} }{ 1 }\]
to convert negative to positive exponent flip the fraction ( as mentioned above)
so it would be \[\frac{ 1 }{ u^1 }\]

Answer 10

hmm i think im confusing myself.. let me post my work... one sec

Answer 11

\[\int\limits_{ }^{ } u^{-2}\]
for this one add one to the power and then divide by the new power \[\frac{ u^{-2+1}}{ -2+1 } = \frac{ u^{-1} }{ -1 } = -\frac{1}{u}\]

Answer 12

its the last step in my paper where i did u sub

Answer 13

i just checked that last part (u sub)
looks good to me

Answer 14

ah okay so thats where i struggled for the u^-2 so then the - got factored out right

Answer 15

well don't forget the integral sign right there
\[\int\limits_{ }^{ } u^{-2} d \theta\]
what would be the next step ?