Prove that can be divided by 5.
Obviously if a number can be divided by five it either ends with a 0 or a 5. But how do you ADD numbers with exponents? I know how to divide, multiply, but not add or subtract. And my calculator doesn't fit that many numbers.
No! It most definitely isn't. For example . You may have to (re)visit the laws of exponents if you don't understand
What I did was to say that which is easy enough to verify.
It is a standard law of exponents that . If you think about the example above: which is fine.
In other words Likewise
I chose 2^{58} because that is the greatest common factor of the original expression.
Rewriting the original equation using my subsitution gives:
Exponents behave in the same way as other numbers when it comes to factorising so you can factor out
The part in the brackets can be simplified to 5 meaning this expression is divisible by 5