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33/3^-1 .

A sloth moves along a tree at 3^-1 m each minute. How long will it take a sloth to climb a tree that is 33 m tall?

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Bruce B. | Mathematics and Physics; Calculus and Mechanics SpecialtyMathematics and Physics; Calculus and Me...
4.8 4.8 (4 lesson ratings) (4)
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Having a negative exponent means that your nominator and denominator flip, and the exponent stays with the number it was with. (ie 2-3 = 1/23)
 
Since the exponent is only a power of 1, this becomes a fairly easy problem
 
33 = x/3
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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Hi Brenna;
A sloth moves along a tree at 3^-1 m each minute. How long will it take a sloth to climb a tree that is 33 m tall?
speed=(1/3)meters/minute
distance=33 meters
distance=(rate)(time)
(distance)/(rate)=time
(33 meters)/[(1/3)meters/minute]=time
1/3 in the denominator is the equivalent of 3/1, or 3, in the numerator.
The units of meters/minute in the denominator, is the equivalent of minutes/meter in the numerator.
(33 meters)[(3)(minutes/meter)]=time
The unit of meters is in the numerator and denominator.  It cancels...
(33 meters)[(3)(minutes/meter)]=time
(33)(3)(minutes)=time
99 minutes=time
Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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 33m/ (3 ^-1  m/Min)
 
 33m / ( 1/3 m/ minute) =99 minutes