What is the value of ?(pk) when p is prime and k is a positive integer?

Solution:-Step1Given thatWhen k is a positive integer and p is prime,we have to calculate the value of ()Step2The value of the Euler's function number of the positive integers up to a given integer m that are relatively prime to m.if gcd(then integers are relatively prime Where From question Step3Given that p is a prime number.So, the only positive factors of p are 1 and p.So, other than 1, positive factors will beStep4So,gcdAlsogcdSo, the value of the Euler’s function = Therefore, the value of () when p is prime and k is a positive integer is .