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:

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

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

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

$-300x^4y^2$

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