7^5⋅7^2
To simplify 7^5 * 7^2, you can add the exponents because you are multiplying two numbers with the same base (7):
7^5 * 7^2 = 7^(5+2) = 7^7
To simplify the expression 7^5 ⋅ 7^2, you can apply the rule of exponents.
According to the rule of exponents, when multiplying two bases with the same value, you add their exponents.
So, in this case, you add the exponents of 7:
7^5 ⋅ 7^2 = 7^(5+2)
Adding the exponents gives:
= 7^7
Therefore, 7^5 ⋅ 7^2 simplifies to 7^7.