Question

simplify. express your answer using positive exponents. $\frac{6y^{9}z^{6}}{6y^{8}z}$

Explanation:

Step1: Simplify the coefficient

$\frac{6}{6}=1$

Step2: Use the quotient - rule of exponents for $y$ terms

$\frac{y^{9}}{y^{8}}=y^{9 - 8}=y^{1}=y$ (The quotient - rule states that $\frac{a^{m}}{a^{n}}=a^{m - n}$)

Step3: Use the quotient - rule of exponents for $z$ terms

$\frac{z^{6}}{z}=z^{6 - 1}=z^{5}$ (Since $\frac{a^{m}}{a^{n}}=a^{m - n}$)

Step4: Combine the results

$1\times y\times z^{5}=yz^{5}$

Answer:

$yz^{5}$