Questions: y/7 * y/9 = □

y/7 * y/9 = □
Transcript text: \[ \frac{y}{7} \cdot \frac{y}{9}=\square \]
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Solution

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Solution Steps

To multiply two rational expressions, you multiply the numerators together and the denominators together. Then, simplify the resulting fraction if possible.

Solution Approach
  1. Multiply the numerators: \( y \cdot y \)
  2. Multiply the denominators: \( 7 \cdot 9 \)
  3. Simplify the resulting fraction.
Step 1: Multiply the Numerators

We start by multiplying the numerators of the two rational expressions: \[ y \cdot y = y^2 \]

Step 2: Multiply the Denominators

Next, we multiply the denominators: \[ 7 \cdot 9 = 63 \]

Step 3: Form the Resulting Fraction

Now, we can form the resulting fraction from the products of the numerators and denominators: \[ \frac{y^2}{63} \]

Step 4: Simplify the Expression

The expression \(\frac{y^2}{63}\) is already in its simplest form, as there are no common factors between the numerator and the denominator.

Final Answer

\[ \boxed{\frac{y^2}{63}} \]

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