Question

simplify. express your answer using positive exponents. (8p⁴qr⁷)(2pq⁸r)

Explanation:

Step1: Multiply the coefficients

$8 \times 2 = 16$

Step2: Combine $p$ terms (add exponents)

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

Step3: Combine $q$ terms (add exponents)

$q^1 \times q^8 = q^{1+8} = q^9$

Step4: Combine $r$ terms (add exponents)

$r^7 \times r^1 = r^{7+1} = r^8$

Step5: Combine all simplified terms

$16 \times p^5 \times q^9 \times r^8 = 16p^5q^9r^8$

Answer:

$16p^5q^9r^8$