Question

(25 to the power of 9) + (5 to the power of 17) is divisble by 30.

Prove the divisibility.

Blank x 30

Answer should be exponent with a base.

Answer 1

5^16

Explanation:

25^9 + 5^17

Replace 25 with 5^2

5^2^9 + 5^17

We know that a^b^c = a^(b*c)

5^(2*9)+ 5^17

5^18+ 5^17

We can factor out 5^17

5^17 (5+1)

5^17(6)

But we need 30 so I need one more 5 inside 5^17 = 5^16 *5

5^16 *5 *6

5^16(30)