Multiplying Fractions Help

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How could I find each product or quotient for this problem? I got $$\frac{3q}{2r^2}$$ as an answer

The question is

$$\frac{(4r)^2}{q} \times \frac{(3q)^2}{(8r)^4}$$ .

So is my answer correct ?

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$$\frac{(4r)^2}{q} \times \frac{(3q)^2}{(8r)^4} = \frac{16r^2}{q} \times \frac{9q^2}{4096r^4}$$

and so this will simplify to $$\frac{9q}{256r^2}$$