Question

simplify. express your answer using positive exponents.
$7q^{9}rs \cdot 10q^{8}rs^{2}$

Explanation:

Step1: Multiply the coefficients

$7 \times 10 = 70$

Step2: Combine $q$ terms (add exponents)

$q^9 \times q^8 = q^{9+8} = q^{17}$

Step3: Combine $r$ terms (add exponents)

$r^1 \times r^1 = r^{1+1} = r^2$

Step4: Combine $s$ terms (add exponents)

$s^1 \times s^2 = s^{1+2} = s^3$

Step5: Multiply all simplified terms

$70 \times q^{17} \times r^2 \times s^3$

Answer:

$70q^{17}r^2s^3$