Question

P^q^r=2^12. if p,q,r are prime numbers then find p+q+r

Answer 1

Answer:

15 or 9

Step-by-step explanation:

p^q^r=2^12

2^12=2^(12*1)=4^(3*2)=> p=2 or 4, q=12 or 3, p=1 or 2

p+q+r=2+12+1=15

p+q+r=4+3+2=9

There is no option where all 3 numbers are primes,

power of 2 can be 12*1 or 6*2 or 4*3, in each case we have non-prime number