Question

25^9+5^17 is divisible by 30.

Answer 1

1.5 x 10↑11

Hopefully that helps.

Answer 2

So, 25⁹ + 5¹⁷ is divisible by 30 to give a quoitient of 5¹⁶

To evaluate 25⁹ + 5¹⁷ is divisible by 30, we proced as follows

Since 25⁹ + 5¹⁷, we use exponents to re-write 25. So,

25⁹ + 5¹⁷ = (5²)⁹ + 5¹⁷

= 5¹⁸ + 5¹⁷

So, we want to evaluate (25⁹ + 5¹⁷)/30 = (5¹⁸ + 5¹⁷)/30

Next, we factorize out the common term in the expression. So,

5¹⁸ + 5¹⁷/30 = 5¹⁷(5 + 1)/30

= 5¹⁷(6)/30

= 5¹⁷/5

= 5¹⁶

So, (25⁹ + 5¹⁷)/30 = 5¹⁶