How do you find the quotient of the expression 65y³ divided by 15y² divided by 25y divided by 5y?

To find the quotient of the expression 65y³ ÷ 15y² ÷ 25y ÷ 5y, we can break it down step by step.

Step 1: Simplify the expression

We can rewrite the expression for clarity. Instead of doing all the divisions at once, let’s start by simplifying:

Quotient = 65y³ ÷ 15y² ÷ 25y ÷ 5y

First, let’s divide 65y³ by 15y²:

65y³ ÷ 15y² = (65 ÷ 15) * (y³ ÷ y²) = rac{65}{15} * y^{3-2} = rac{13}{3} * y

Now we have rac{13}{3}y.

Now, take the result rac{13}{3}y and divide it by 25y:

So, we have:

rac{13}{3}y ÷ 25y = rac{13}{3} ÷ 25 (the y’s cancel each other)

Next, divide rac{13}{75} by 5y:

rac{13}{75} ÷ 5y = rac{13}{75} ÷ 5 = rac{13}{75 * 5} = rac{13}{375} y

Putting this all together, the final quotient of the original expression:

Quotient = rac{13}{375}y

This is the simplified form of the expression 65y³ ÷ 15y² ÷ 25y ÷ 5y.