The square root of 169 is 13 and 170 is 13.03
For this case we have the following expression:

We multiply both sides by: 

We divide both sides by 216:

To divide powers of the same base, we place the same base and subtract the exponents:

Rewriting:

To multiply powers of the same base, we place the same base and add the exponents:

We know that any number raised to zero is 1, 
So, for equality to be true:

Answer:

50-10 = 40. 40 divided by 6 = around 6/7. So about 6/7 weeks
I believe it's a linear function I could be totally wrong math isn't my strongest subject.