New definition calculation (a △ B = 10A power X 10B power) verification: (m △ n) △ P is equal to m △ (n △ P) Define an operation: a △ B = 10A power, x10b power, for example: 3 △ 4 = 10 & # 179; X10 power From the meaning of the title, we can get: to verify whether (m △ n) △ P is equal to m △ n △ P

New definition calculation (a △ B = 10A power X 10B power) verification: (m △ n) △ P is equal to m △ (n △ P) Define an operation: a △ B = 10A power, x10b power, for example: 3 △ 4 = 10 & # 179; X10 power From the meaning of the title, we can get: to verify whether (m △ n) △ P is equal to m △ n △ P

Because a △ B = 10 ^ ax10 ^ B = 10 ^ (a + b)
So m = 1, n = 2, P = 3
The results show that (1 △ 2) △ 3 = (10 ^ 3) △ 3 = 1000 △ 3 = 10 ^ (1000 + 3) = 10 ^ 1003
And 1 △ (2 △ 3) = 1 △ 10 ^ (2 + 3) = 1 △ 10 ^ 5 = 10 ^ (1 + 10005)
Obviously (1 △ 2) △ 3 is not equal to 1 △ 2 △ 3