Question

simplify. express your answer using positive exponents.
$4p^{7}q^{5}r^{3} \cdot 5pqr$

Explanation:

Step1: Multiply coefficients

$4 \times 5 = 20$

Step2: Combine $p$ terms

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

Step3: Combine $q$ terms

$q^5 \times q = q^{5+1} = q^6$

Step4: Combine $r$ terms

$r^3 \times r = r^{3+1} = r^4$

Step5: Multiply all parts

$20 \times p^8 \times q^6 \times r^4$

Answer:

$20p^8q^6r^4$