Simplify the Expression: y^2 · y^3 · y^6 Using Exponent Rules

To solve this problem, we'll follow these steps:

• Step 1: Identify the exponents in the expression $y^2 \cdot y^3 \cdot y^6$.

• Step 2: Apply the exponent rule by adding the exponents together.

• Step 3: Simplify the combined exponents to find the final expression.

Now, let's work through each step:

Step 1: The exponents in the expression are 2, 3, and 6.

Step 2: According to the multiplication rule for powers with the same base, we have $y^2 \cdot y^3 \cdot y^6 = y^{2+3+6}$.

Step 3: Calculate the sum of the exponents: $2 + 3 + 6 = 11$.

Therefore, the simplified expression is $y^{11}$.

Given the choices, the correct answers, by these computations, correspond to:

• $y^{11}$

• $y^{2+3+6}$

Hence, the correct answer to the problem is B+C are correct.