Question

All of the following expressions are equal except _____

Answer 1

4^5/4^2

Explanation:

4^5/4^2 = 4^3

All the others are equal to 1 / 4^3.

Answer 2

All the following expressions are equal expect

`(4^(5))/(4^2)`

Explanation:

`\sf (1)/(4^3)\\\\(4^2)/(4^5)=(1)/(4^(5-2))}=(1)/(4^3)\\\\4^(-3)=(1)/(4^(3))`

But,

`\sf (4^5)/(4^2)=4^(5-2)=4^(3) \ which \ differs \ from \ other \ three \expressions`

Exponnet law:

`\sf a^(-m) =(1)/(a^m)\\\\ (a^(m))/(a^(n))=a^(m-n) , \ if \ m > n\\\\(a^(m))/(a^n)=(1)/(a^(n-m)), \ if \ m < n`