Prove the divisibility of the following numbers: 45^10·5^40 by 25^20

For this case we have the following expressions:

and

Let:

(Integer m)

(Integer n)

By definition, an integer m is divisible by an integer n if the remainder of the division is 0. That is, there is an integer p such that:

Rewriting the expression we have:

So:

We cancel similar terms:

We check:

If they are divisible

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.