use the product rule of exponents to simplify the expression 7^(5)*7^(2)
To simplify the expression 𝑎^(𝑚) ⋅ 𝑎^(𝑛), we can use the product rule of exponents, which states that when multiplying two expressions with the same base, we add their exponents.
So, in this case, 7^(5) ⋅ 7^(2) would simplify to 7^(5+2).
Adding the exponents, we get:
7^(5+2) = 7^(7).
Therefore, the expression 7^(5) ⋅ 7^(2) simplifies to 7^(7).