Question

simplify. express your answer using positive exponents. (2pq^9)(2pq)

Explanation:

Step1: Multiply coefficients

$2 \times 2 = 4$

Step2: Combine p terms

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

Step3: Combine q terms

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

Step4: Combine all parts

$4 \times p^2 \times q^{10} = 4p^2q^{10}$

Answer:

$4p^2q^{10}$