AMO 2027 Grades 8-9 SET 17 - Self-study Question 13

Question 44. The speed of light is approximately 186,000 miles/second. If $186,000=2^A\times3^B\times5^C\times31^D$, compute the simplified value of $(A-B)\times(C+D)$.

**Editorial input convention:** Use the nonnegative integer exponents in the prime factorisation of the stated integer.