Question

simplify. express your answer using positive exponents. 6qrs⁷·3q⁴rs

Explanation:

Step1: Multiply coefficients

$6 \times 3 = 18$

Step2: Combine q terms

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

Step3: Combine r terms

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

Step4: Combine s terms

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

Step5: Combine all parts

$18 \times q^5 \times r^2 \times s^8$

Answer:

$18q^{5}r^{2}s^{8}$