Use the product rule of exponents to simplify the expression 7^(5) . 7^(2)
To simplify the expression 7^(5) . 7^(2), we can use the product rule of exponents, which states that when you multiply two numbers with the same base, you can add their exponents.
In this case, the base is 7 and the exponents are 5 and 2:
7^(5) . 7^(2) = 7^(5+2)
Now, we can add the exponents:
7^(5+2) = 7^(7)
Therefore, 7^(5) . 7^(2) simplifies to 7^(7).