Use the Product Rule of Exponents to simplify the expression 7^5 ⋅7^2.
The Product Rule of Exponents states that when multiplying two expressions with the same base, you can add the exponents.
So, 7^5 ⋅ 7^2 = 7^(5+2) = 7^7.
To simplify the expression 7^5 ⋅7^2 using the Product Rule of Exponents, we can add the exponents together.
According to the Product Rule of Exponents, when multiplying two powers with the same base, we add the exponents. So, 7^5 ⋅7^2 becomes 7^(5 + 2).
Simplifying further, 5 + 2 equals 7. Hence, 7^5 ⋅7^2 can be written as 7^7.
To simplify the expression 7^5 ⋅ 7^2 using the Product Rule of Exponents, we need to multiply the bases with the same exponent.
The Product Rule of Exponents states that when multiplying two powers with the same base, you can add their exponents.
In this case, we have 7^5 ⋅ 7^2, where the base is 7.
Using the Product Rule of Exponents, we add the exponents 5 and 2:
7^5 ⋅ 7^2 = 7^(5+2)
Simplifying the exponents, we get:
7^(5+2) = 7^7
Therefore, the simplified expression is 7^7.