Question

simplify. express your answer using positive exponents
$(3r^{6}st^{2})(9rs^{3}t)$

Explanation:

Step1: Multiply coefficients

$3 \times 9 = 27$

Step2: Combine $r$ terms (add exponents)

$r^{6} \times r^{1} = r^{6+1} = r^{7}$

Step3: Combine $s$ terms (add exponents)

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

Step4: Combine $t$ terms (add exponents)

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

Step5: Combine all results

$27 \times r^{7} \times s^{4} \times t^{3} = 27r^{7}s^{4}t^{3}$

Answer:

$27r^{7}s^{4}t^{3}$