### Instruction: What is $(15x^2) \cdot (6x) \cdot \left(\frac{1}{(3x)^2}\right)$?### Response: I notice that this is a product of three factors, each of which is a power of x multiplied by a constant.
I can use the rule that says when I multiply powers with the same base, I add their exponents.
So, I can rewrite this as $15 \cdot 6 \cdot \frac{1}{3^2} \cdot x^{2+1-2}$.
Now, I can simplify the constants by multiplying 15 and 6, and dividing by 9, which is $3^2$.
I get $10 \cdot x^1$, or just $10x$.