Simplify the following equation:
Simplify the following equation:
To solve the problem of simplifying the expression , follow these steps:
Step 1: Understand that the expression involves multiplying powers with the same base.
Step 2: Apply the formula for multiplying powers: .
Step 3: Combine the exponents by adding them together.
Now, let's work through these steps in detail:
Step 1: Recognize the base is 5, with exponents 3, 6, and 2.
Step 2: Since all terms have the base 5, use the formula for multiplying powers, resulting in a single term where the exponents are added: .
Step 3: Calculate the sum of the exponents: .
Hence, the correct answer is which simplifies to .