Question

simplify.

\\\frac{45xy^2}{5x^2y^3}\\

Explanation:

Simplify the numerical coefficients

Using the Simplifying Rational Expressions knowledge point

$$ \frac{45}{5} = 9 $$

Simplify the variable x

Using the Exponent Rules knowledge point

$$ \frac{x}{x^2} = x^{1-2} = x^{-1} = \frac{1}{x} $$

Simplify the variable y

Using the Exponent Rules knowledge point

$$ \frac{y^2}{y^3} = y^{2-3} = y^{-1} = \frac{1}{y} $$

Combine the simplified parts

Using the Simplifying Rational Expressions knowledge point

$$ \frac{45xy^2}{5x^2y^3} = 9 \cdot \frac{1}{x} \cdot \frac{1}{y} = \frac{9}{xy} $$

Answer:

Simplify.

$$ \frac{45xy^2}{5x^2y^3} $$

<blank>\(\frac{9}{xy}\)</blank>