Simplified Notation for 2.45/2.5x10^17m^-2: Understanding Correct Form

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The discussion focuses on expressing the value 2.45/2.5x10^17 m^-2 in a simplified form. Participants clarify the correct notation, debating whether to include the unit of meters in the denominator or keep it separate. It is confirmed that the proper expression should be 2.45/(2.5 x 10^17) m^-2. Additionally, there is confusion about operations with exponents and whether to multiply or divide the values. Ultimately, the correct approach involves maintaining the integrity of the units while simplifying the fraction.
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I am having a bit of trouble expressing me answer in the correct simplified form.

The answer is... 2.45/2.5x10^17m^-2 (m is meters)

-what is the correct form to express this answer?
 
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Is this what it looks like?
\frac{2.45}{2.5x10^{17} m^{-2}}
 
Do you mean:

\frac {2.41} {2.5 x 10^{17}} m^{-2}

or

\frac {2.41} {2.5 x 10^{17} m^{-2}}


What do you know about operations with exponents?
 
Integral - it is the second one you have described.

-I'm thinking that it would just be 2.45*2.5*10^17m^2 ?

..and then I would solve
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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