7^5 * 7^6 (1 point)
49^30
7^30
49^11
7^11
7^11
To simplify the expressions provided:
1. To multiply two exponential expressions with the same base, add their exponents. Therefore, 7^5 * 7^6 can be simplified as 7^(5+6) = 7^11.
2. 49^30 can be further simplified as (7^2)^30. By applying the power of a power property, we multiply the exponents together, resulting in 7^(2*30) = 7^60.
3. 7^30 remains as it is, since there are no other terms to simplify.
4. 49^11 can be rewritten as (7^2)^11. Following the same logic as before, we multiply the exponents to give us 7^(2*11) = 7^22.
5. 7^11 remains the same because there are no other terms to simplify.