Respuesta :

Answer:

[tex]\frac{s}{2t}[/tex]

Step-by-step explanation:

When you have exponents above a like term and they are being multiplied together, you add them.

For example:

[tex]a^{x} *a^{y} = a^{x + y}[/tex]

So let's group like terms in the numerator:

[tex]4r^{3} r^{-5} s^{-2} s^{-1}t[/tex]   We can add terms like in the example.

[tex]4 r^{-2} s^{-3} t[/tex]

Let's rearrange the denominator.

[tex]8r^{-2} s^{-4} t^{2}[/tex]

Now we have:

[tex]\frac{4r^{-2} s^{-3}t}{8 r^{-2} s^{-4} t^{2} }[/tex]  Cancel like terms

4/8 = 1/2    

[tex]r^{-2} /r^{-2}[/tex] = 1  So it cancels

[tex]s^{-3} / s^{-4} = s^{-1}[/tex] = s Since s is raised to the -1 it goes on top and becomes s.

[tex]t / t^{2} = 1/t[/tex]

Now we combine everything back together:

[tex]\frac{s}{2t}[/tex]

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