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