Complete the Expression: (7×5×2)^y Mathematical Power Problem

To solve the problem of expressing $(7 \times 5 \times 2)^y$ in another form, we'll use the power of a product rule step by step:

Step 1: Identify and Understand the Given Expression
We are given $(7 \times 5 \times 2)^y$. This indicates that the entire product inside the parentheses is raised to the power $y$.

Step 2: Apply the Power of a Product Rule
The power of a product rule states that $\left(a \times b \times c\right)^n = a^n \times b^n \times c^n$. According to this law, we can distribute the exponent $y$ to each factor within the parentheses.

Step 3: Rewrite the Expression
Applying this rule, we rewrite the expression as:

• Raise the first factor, 7, to the power of $y$: $7^y$.
• Raise the second factor, 5, to the power of $y$: $5^y$.
• Raise the third factor, 2, to the power of $y$: $2^y$.

Putting it all together, the expression becomes $7^y \times 5^y \times 2^y$.

Conclusion
Therefore, the expression $(7 \times 5 \times 2)^y$ is correctly rewritten as $7^y \times 5^y \times 2^y$.

Hence, the corresponding expression is $7^y \times 5^y \times 2^y$.