Exponent=e to the powerPower=m to the power ni.e Power=Generalized exponent
You multiply the exponents.
4 to the 2nd power in exponents is 42
In terms of mathematical concepts, there is no difference at all. In practical terms, some rational exponents or rational number will result in rational answers while radical exponent won't. But that is hardly a significant difference.
Multiply them.
The same difference as between energy and power. Power = energy / time.
The rule is that you multiply the exponents. So if I have 2 squared and I want to raise it to the third power, you multiply the 2x3=6. When you multiply powers you add the exponents. When you raise exponents to a power you multiply. This works for rational exponents which can be used to represent roots as well.
Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.
What the difference between process piping and power piping?
If you're multiplying numbers with exponents, add the exponents. 32 x 33 = 35 If you're raising exponents to a power, multiply the exponents. 3 squared to the third power = 36
The laws of exponents work the same with rational exponents, the difference being they use fractions not integers.
10 to the seventh power - or 10,000,000. When multiplying numbers with exponents - you add the exponents together.