Question

In Exercise,Use properties of exponents to simplyfy the expression.
(e2)(e5)

Answer 1

Answer:
`(e^2)(e^5)=e^(7)`

Explanation:

According to the product property of exponents :

`a^m* a^n=a^(mn)`

For example :
`(5^9)(5^2)=5^(9+2)=5^(11)`

Let's take one more example :

`7^(-3)*7^4=7^(3+(-4))=7^(3-4)=7^(-1)` [∵ (-)(+)=(-)]

The given expression :
`(e^2)(e^5)`

Using the product property of exponent , we get

`(e^2)(e^5)=e^(2+5)=e^(7)`

Hence, the required simplified expression would be
`e^(7)` .