Questions: Simplify. y^3 * y^5 * y * y^2

Solution Steps

To simplify the expression \( y^3 \cdot y^5 \cdot y \cdot y^2 \), we can use the product rule of exponents. The product rule states that when multiplying like bases, we add the exponents. Therefore, we add the exponents of all the \( y \) terms together.

We start with the expression \( y^3 \cdot y^5 \cdot y \cdot y^2 \). The exponents of \( y \) are 3, 5, 1, and 2.

According to the product rule of exponents, when multiplying like bases, we add the exponents. Therefore, we sum the exponents: \[ 3 + 5 + 1 + 2 = 11 \]

Final Answer