How do you simplify #(p^12t^3r)/(p^2tr)#?

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Answer 1 · 2016-12-23T01:22:37

#p^10t^2#

First, we can rewrite this expression as:

#p^12/p^2 t^3/t r/r#

Now we can simplify the #r# terms by using the rule:

#color(red)(x/x = 1)#

#p^12/p^2 t^3/t * 1#

#p^12/p^2 t^3/t#

Next, we can use the following rule for exponents to rewrite the expression:

#color(red)(x = x^1)# giving us:

#p^12/p^2 t^3/t^1#

Now we can use another rule for exponents to further simplify:

#color(red)(x^a/x^b = x^(a - b)#

#p^(12-2)t^(3-1)#

#p^10t^2#