Question

In Exercise,Use properties of exponents to simplyfy the expression.
e^2/e^-4

Answer 1

Answer:
`e^(6)` .

Explanation:

According to the division property of exponents :
`(a^m)/(a^n)=a^(m-n)`

For example :
`(4^(5))/(4^(2))=4^(5-2)=4^3`

Let's take one more example ,
`(5^(2))/(5^(3))=5^(2-3)=5^(-1)=(1)/(5)`

The given expression :
`(e^2)/(e^(-4))`

By division property of exponents , this will become

`(e^2)/(e^(-4))=e^(2-(-4))`

`=e^(2+4)=e^(6)` [Since (-)(-)=(+)]

Therefore , the required simplified expression would be
`e^(6)` .