Answer:
1
Step-by-step explanation:
If you break down each part into 5 to the power of something, you get the following:
[tex]5^{18}*5^{6}:5^{24}[/tex]
When you simplify this, you get:
[tex]5^{24}:5^{24}[/tex], which simplifies to 1
The first factor is (5^6)^3. Multiply the exponents 6 and 3 together, obtaining 5^18. Next, rewrite 25^3 as (5^2)^3, or 5^6. Finally, write 125^8 as (5^3)^8.
Then we have:
5^18 * 5^6 5^24
---------------- = --------------- = 1
(5^3)^8 5^24
---------* 25^3
125^8
