Problem

Multiply.
\[
\frac{5 y}{4 b^{2}} \cdot \frac{8 b^{3} y}{y^{5}}
\]

Answer

Expert–verified
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Answer

Final Answer: The result of the multiplication is \(\boxed{\frac{10 b}{y^{3}}}\)

Steps

Step 1 :Given the two fractions \(\frac{5 y}{4 b^{2}}\) and \(\frac{8 b^{3} y}{y^{5}}\)

Step 2 :When multiplying fractions, we multiply the numerators together to get the new numerator and the denominators together to get the new denominator.

Step 3 :So, we multiply the numerators \(5y\) and \(8b^{3}y\) together and the denominators \(4b^{2}\) and \(y^{5}\) together.

Step 4 :We also need to simplify the result if possible.

Step 5 :After simplifying, we get the final result as \(\frac{10 b}{y^{3}}\)

Step 6 :Final Answer: The result of the multiplication is \(\boxed{\frac{10 b}{y^{3}}}\)

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