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Komok [63]
2 years ago
15

Match the products of rational expressions with their simplest forms.

Mathematics
1 answer:
Alborosie2 years ago
7 0
Lets simplify each one of the rational expressions using the product rule of exponents: a^n*a^m=a^{n+m} and the quotient rule of exponents: \frac{a^n}{a^m} =a^{n-m}.

1.  \frac{-3x^2}{2y^2} * \frac{y^2}{9x} =- \frac{x}{6} = \frac{-1}{6} x

2. \frac{5y^2}{10x^2} * \frac{4x^2}{y} =2y

3. \frac{-9y^2}{5x} * \frac{-10x^2}{3y} =6xy

4. \frac{14x^2}{5y} * \frac{-10y}{7x} =-4x

We can conclude that you should pair the rational expressions with their simplest form as follows:
6xy-----\ \textgreater \ \frac{-9y^2}{5x} * \frac{-10x^2}{3y}
\frac{-1}{6} x-----\ \textgreater \  \frac{-3x^2}{2y^2} * \frac{y^2}{9x}
-4x-----\ \textgreater \ \frac{14x^2}{5y} * \frac{-10y}{7x}
2y-----\ \textgreater \ \frac{5y^2}{10x^2} * \frac{4x^2}{y}
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