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

Answer 1

Avery Alexander

See a solution process below:

First, reword the sentence as follows:

#-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, find the quotient by applying this exponent rule:

#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#

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Answer 2

Kennedy Adams

To find the quotient of (-300x^5y^4)/(xy^2), you divide the numerator (-300x^5y^4) by the denominator (xy^2). This can be done by dividing the coefficients and subtracting the exponents of the variables. The quotient is -300x^4y^2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.