Exponent refers to the number of times a number is multiplied, and power refers to the result of multiplication.
For example, the exponent in the cubic power of 2 is 3, and 8 is the cubic power of 2.
But there is also a certain connection. For example, 2 3 can be read as the cubic power of 2 or as the cubic power of 2.
Power is an operation, and power is the result of this operation.