Simplify (2×8) Raised to Power (2y+2): Complete Expression

Insert the corresponding expression:

$\left(2\times8\right)^{2y+2}=$

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

• Step 1: Identify the expression as $(2 \times 8)^{2y+2}$.
• Step 2: Apply the "Power of a Product" rule: $(a \times b)^n = a^n \times b^n$.
• Step 3: Apply this to the bases 2 and 8 in the given expression.

Now, let's work through each step:
Step 1: In our problem, the expression $(2 \times 8)^{2y+2}$ needs to be expanded.
Step 2: According to the exponent rule, we can rewrite the expression as $2^{2y+2} \times 8^{2y+2}$.
Step 3: We have applied the power to each individual base within the parentheses.

Therefore, the corresponding expression is $2^{2y+2} \times 8^{2y+2}$.