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Drupady [299]
3 years ago
8

Simplify the expression r^-3 s^5 t^2/r^2 st^-2

Mathematics
2 answers:
Zina [86]3 years ago
8 0
<em>(\frac{r^{-3}s^{5} t^{2}  }{ r^{2} }) (t^{-2}) </em>
<em>\frac{ s^{6} t^{2} }{r^{5}  t^{2} } </em>
<em><u>\frac{ s^{6} }{ r^{5} } </u></em>
<em>Hope that helps!! </em>
<em>Have a wonderful day!!</em>
Oksana_A [137]3 years ago
7 0
<span>simplify the expression r^-3s^5t^2 over r^2st^-2 
--------
= [s^4t^4] / [r^5]

</span>
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The difference between the volume of the spheres is 3428.88 cubic feet

Explanation:

Given that one sphere has a radius of 11 feet.

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<u>Volume of the 1st sphere:</u>

The formula to determine the volume of the sphere is given by

V=\frac{4}{3} \pi r^3

Volume of the 1st sphere is given by

V=\frac{4}{3}(3.14)(11)^3

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The volume of the 1st sphere is 5572.45 cubic feet.

<u>Volume of the 2nd sphere:</u>

Volume of the 2nd sphere is given by

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The volume of the 2nd sphere is 2143.57 cubic feet.

<u>Difference between the volume of the two spheres:</u>

Difference = Volume of the 1st sphere - Volume of the 2nd sphere

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Difference = 3428.88 cubic feet.

Hence, the difference between the volume of the spheres is 3428.88 cubic feet.

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