Identify the following equation in index form.5 × 5 × 5 × 3 × 3A. 35B. 53 × 32C. 125 + 9D. 53 + 32

1. ### Break Down the Problem

We need to express the equation $5 \times 5 \times 5 \times 3 \times 3$ in index form.

2. ### Relevant Concepts

In index (or exponent) notation, repeated multiplication of a number can be represented as a base raised to a power, where the power indicates the number of times the base is multiplied by itself. For instance, $a^n$ means $a$ is multiplied by itself $n$ times.

3. ### Analyze and Detail

1. The number 5 appears 3 times:

   • $5 \times 5 \times 5 = 5^3$

2. The number 3 appears 2 times:

   • $3 \times 3 = 3^2$

Putting it together in index form gives: $5^3 \times 3^2$

4. ### Verify and Summarize

Since we've expressed the terms in their respective exponent forms correctly, we summarize the findings: The original expression $5 \times 5 \times 5 \times 3 \times 3$ can be represented as $5^3 \times 3^2$.

Final Answer

The answer is B. $5^3 \times 3^2$