Can anybody help me with a couple of math questions?
Only if you ask them
The biggest one I need help with is P1 times V1 over T1= P2 times V2 over T2 Solve for T2
\[\large \frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}\]??
Is it as easy as subtracting P2V2 from both sides?
no
but it is easy you want \(T_2\) right?
Yes. I need to solve for T2
flip both sides to get it in the numerator first
clear?
no is a fine answer, i can show you just asking
Is T1 over P1V1 times P2V2=T2 correct?
yes
Thank you! Do you mind helping me with a couple more?
you can write it as \[\frac{P_1V_1P_2V_2}{T_1}\] if you like
k
I need to know how to write a base with an exponent as a fraction Like 4 to the -2 power
\[\large 4^{-2}\]?
Yes
\[\large b^{-n}=\frac{1}{b^n}\]
so \[\large 4^{-2}=\frac{1}{4^2}=\frac{1}{16}\]
Okay. Just one more. This one is really simple but math isn't my strong suit. It stresses me out. Does \[4^{1}\times 4^{-3}\] equal \[4^{-2}\]
yes because \(1-3=-2\)
i will be happy to help with more if you need no problem
Okay so 4 to the first power divided by 4 to the third power is equal to 4 to the first power times 4 to the negative third power?
\[\frac{4}{4^3}=\frac{1}{4^2}\] by cancelling you can write \[\frac{1}{4^2}\] as \(4^{-2}\)
or you can write \[\frac{4}{4^3}=4\times 4^{-3}=4^{1-3}=4^{-2}\] it is all the same really
Okay. Thank you so much!!!
yw
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