Question

If p to the power q to the power r is equal to 6561 then p+q+r=?

Answer 1

Answer:

9

Step-by-step explanation:

6561 = 81² = (9²)², assuming p, q, r are different numbers.

6561 = (9²)² ={(3²)²}² = ((3)⁴)²

In this case, p = 3, q = 4, r = 2.

You can follow this method for different different values of p, q and r.

Like, 6561 = (81)² = ((81)²)¹, here p = 81, q = 2, r = 1.

And many more result.

Assuming that p ≠ q ≠ r ≠ 1, and all are natural numbers. (Done above):

p = 3, q = 4, r = 2

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