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No because 2 to the power of 3 is 8 which is a rational number
3
It is 1/3.
A power to a prime number refers to raising the prime number to a positive integer exponent. For example, if the prime number is 2 and the exponent is 3, then 2 to the power of 3 is 8. In general, when a prime number is raised to a power, it results in a composite number.
You can only do it if the power is an integer. If the power is a positive integer, then it represents multiplication of the same number of "bases". Thus, 34 = 3*3*3*3 or 85 = 8*8*8*8*8 Also any number to the power 0 is equal to 1. Finally, a number raised to a negative number is the same as its reciprocal raised to the corresponding positive power. Thus 3-4 = (1/3)4 = (1/3)*(1/3)*(1/3)*(1/3)