Question

simplify. express your answer using positive exponents.
$9pq^{4}r^{8} \cdot 4p^{9}qr^{5}$

Explanation:

Step1: Multiply constant coefficients

$9 \times 4 = 36$

Step2: Combine $p$ terms (add exponents)

$p^1 \times p^9 = p^{1+9} = p^{10}$

Step3: Combine $q$ terms (add exponents)

$q^4 \times q^1 = q^{4+1} = q^5$

Step4: Combine $r$ terms (add exponents)

$r^8 \times r^5 = r^{8+5} = r^{13}$

Step5: Combine all simplified terms

$36 \times p^{10} \times q^5 \times r^{13}$

Answer:

$36p^{10}q^{5}r^{13}$