52×5a×53=
To solve the expression 52×5a×53, we will make use of the exponent rule for multiplication, which states that if you multiply powers with the same base, you add the exponents:
am×an=am+n
Let's apply this rule step by step:
- Step 1: Identify the base of the power terms. In this problem, the base is 5.
- Step 2: Write down all the exponents. The exponents we have are 2, a, and 3.
- Step 3: Add the exponents together:
2+a+3.
- Step 4: Simplify the sum: 2+a+3=5+a.
- Step 5: Express the final result as a single power:
The expression can be rewritten using the exponent rule as 55+a.
Thus, the final simplified expression is 55+a.