How do find the quotient of #(-300x^5y^4)/(xy^2)#?

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Answer 1 · 2018-03-18T14:29:42

See a solution process below:

First, rewrite the expression as:

#-300(x^5/x)(y^4/y^2)#

Next, use this rule for exponents to rewrite the #x# term in the denominator:

#a = a^color(blue)(1)#

#-300(x^5/x^color(blue)(1))(y^4/y^2)#

Now, use this rule for exponents to find the quotient:

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

#-300(x^color(red)(5)/x^color(blue)(1))(y^color(red)(4)/y^color(blue)(2)) =>#

#-300x^(color(red)(5)-color(blue)(1))y^(color(red)(4)-color(blue)(2)) =>#

#-300x^4y^2#