Question

simplify the expression.
$-9mn \cdot 3m^2 \cdot -3m^2n^5$

Explanation:

Step1: Multiply constant coefficients

$(-9) \times 3 \times (-3) = 81$

Step2: Combine $m$ terms via exponent addition

$m^1 \times m^2 \times m^2 = m^{1+2+2} = m^5$

Step3: Combine $n$ terms via exponent addition

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

Step4: Multiply all simplified parts

$81 \times m^5 \times n^6$

Answer:

$81m^5n^6$