Use the Product Rule of Exponents to simplify the expression 7^5 ⋅7^2
The Product Rule of Exponents states that when multiplying powers with the same base, you can add the exponents.
Therefore, 7^5 ⋅7^2 can be simplified as 7^(5+2).
Adding the exponents, we get 7^7.
So, 7^5 ⋅7^2 simplifies to 7^7.
To simplify the expression 7^5 ⋅7^2 using the Product Rule of Exponents, we can add the exponents together because the bases are the same.
The Product Rule states: a^m ⋅ a^n = a^(m + n)
In this case, a = 7, m = 5, and n = 2.
Therefore, we have:
7^5 ⋅7^2 = 7^(5 + 2)
Adding the exponents gives:
7^(5 + 2) = 7^7
So, the expression 7^5 ⋅7^2 simplifies to 7^7.