Question

simplify the expression below. \\(\dfrac{36x^{9}y^{8}}{45x^{3}y^{5}}\\)

Explanation:

Step1: Simplify the numerical coefficients

$\frac{36}{45} = \frac{4}{5}$

Step2: Simplify the $x$-terms using exponent rule

$x^{9-3} = x^6$

Step3: Simplify the $y$-terms using exponent rule

$y^{8-5} = y^3$

Step4: Combine all simplified parts

$\frac{4}{5} \cdot x^6 \cdot y^3$

Answer:

$\frac{4}{5}x^6y^3$