Question

simplify. express your answer using positive exponents.
$10qrs^{4} \cdot 9qrs^{7}$

Explanation:

Step1: Multiply coefficients

$10 \times 9 = 90$

Step2: Combine q terms

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

Step3: Combine r terms

$r^4 \times r^7 = r^{4+7} = r^{11}$

Step4: Combine all parts

$90 \times q^2 \times r^{11} = 90q^2r^{11}$

Answer:

$90q^2r^{11}$