Solve (7×5×2)^(y+4): Complete the Exponential Expression

Insert the corresponding expression:

$\left(7\times5\times2\right)^{y+4}=$

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

• Step 1: Identify the current expression and its structure.
• Step 2: Apply the power of a product rule.
• Step 3: Simplify the expression by distributing the exponent to each factor.

Now, let's work through each step:
Step 1: The given expression is $(7 \times 5 \times 2)^{y+4}$. This is a product inside the parentheses raised to a power.
Step 2: According to the power of a product rule, $(a \times b \times c)^n = a^n \times b^n \times c^n$. We can apply this rule here.
Step 3: Applying the rule, the expression becomes $(7)^{y+4} \times (5)^{y+4} \times (2)^{y+4}$.

Therefore, the correctly expanded expression is $7^{y+4}\times5^{y+4}\times2^{y+4}$.