5^6*5^-3=5^6*1/5^3=5^6/5^3=5^6-3=5^3=5^6+(-3) 7^4/7^-2=7^4/1/7^2=7^4*7^2=7^4+2=7^6=7^4-(-2) 1) Is the calculation of the above two cities correct? (2) According to the above operation process, do you have any new understanding of a ^ m * a ^ n = a ^ m + n (m, n are positive integers), a ^ m / A ^ n = a ^ M-N (m, n are positive integers, and M > N, a ≠ 0)? (3) It is to calculate with the new knowledge you get: ① the - 3rd power of 3 * the - 2nd power of 3; ② the - 7th power of 8 / the - 4th power of 8

5^6*5^-3=5^6*1/5^3=5^6/5^3=5^6-3=5^3=5^6+(-3) 7^4/7^-2=7^4/1/7^2=7^4*7^2=7^4+2=7^6=7^4-(-2) 1) Is the calculation of the above two cities correct? (2) According to the above operation process, do you have any new understanding of a ^ m * a ^ n = a ^ m + n (m, n are positive integers), a ^ m / A ^ n = a ^ M-N (m, n are positive integers, and M > N, a ≠ 0)? (3) It is to calculate with the new knowledge you get: ① the - 3rd power of 3 * the - 2nd power of 3; ② the - 7th power of 8 / the - 4th power of 8

(1) Correct (2) a ^ m * a ^ n = a ^ m + n (m, n are positive integers), a ^ m / A ^ n = a ^ M-N (m, n are positive integers, and M > N, a ≠ 0) can be extended to all integers, that is, a ^ m * a ^ n = a ^ m + n (m, n are integers), a ^ m / A ^ n = a ^ M-N (m, n are integers, and a ≠ 0) (3) the original formula = 3 ^ - 5 = 1 / (3 ^ 5)