Do 32.7s^-1 and 3.27s Represent the Same Value?

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32.7s^-1 and 3.27s do not represent the same value, as s^-1 indicates a rate per second, while s denotes a duration in seconds. The expression 32.7s^-1 can be interpreted as 32.7 divided by seconds, which is not equivalent to 3.27 seconds. If s is defined as a specific value, such as √10, the relationship changes, but fundamentally, the units differ. The discussion emphasizes the importance of understanding unit notation in mathematical expressions. Therefore, 32.7s^-1 and 3.27s are not interchangeable.
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Does 32.7s^-1=3.27s ?
 
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Assuming that s is seconds, no.

s^-1 can't equal s.

--J
 
32.7s^-1=1/3.27s ?
 
UrbanXrisis said:
Does 32.7s^-1=3.27s ?

Yes. E.g. if s = \sqrt {10}

:smile:
 
<br /> 32.7s^{-1} = \frac{32.7}{s}<br />
 
UrbanXrisis said:
32.7s^-1=1/3.27s ?

is the exponent for the unit, or the number?

if it is for the number

(1/32.7) s

if its for the unit, it would indicate (1/s) which to me means per second.
 
32.7 s^-1 = 32.7/s

If you want the magnitude in the denominator, you have to write,

\frac{32.7}{s} = \frac{1}{\frac{s}{32.7}} = \frac{1}{.3058s}

-J
 
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