Question

simplify. express your answer using positive exponents. $\frac{p^{8}q^{6}}{pq^{8}}$

Explanation:

Step1: Split into p and q terms

$\frac{p^8 q^6}{p q^3} = \frac{p^8}{p} \times \frac{q^6}{q^3}$

Step2: Simplify p terms (subtract exponents)

$\frac{p^8}{p} = p^{8-1} = p^7$

Step3: Simplify q terms (subtract exponents)

$\frac{q^6}{q^3} = q^{6-3} = q^3$

Step4: Combine simplified terms

$p^7 \times q^3 = p^7 q^3$

Answer:

$p^7 q^3$