Question

1. simplify the expression below.\\(\frac{x^5y^6z^9}{x^3y^3z}\\)

Explanation:

Step1: Apply exponent rule for division

For like bases, subtract exponents: $\frac{x^a}{x^b}=x^{a-b}$

Step2: Simplify $x$-terms

$x^{5-3}=x^2$

Step3: Simplify $y$-terms

$y^{6-3}=y^3$

Step4: Simplify $z$-terms

$z^{9-1}=z^8$

Step5: Combine simplified terms

Multiply the resulting terms together.

Answer:

$x^2y^3z^8$