Question

In Exercise,Use properties of exponents to simplyfy the expression.
(e2/3)(e3)

Answer 1

Answer:
`e^{(11)/(3)}`

Explanation:

According to the Multiplication property of exponents :
`a^m\cdot {a^n}=a^(m+n)`

For example :
`2^7\cdot 2^5= 2^(7-5)=2^2`

Let's take one more example ,
`a^(-11)\cdot a^(1)=a^(-11+1)=a^(-10)`

The given expression :
`(e^{(2)/(3)})(e^3)`

By Multiplication property of exponents , we have

`(e^{(2)/(3)})(e^3)=e^{(2)/(3)+3}`

`=e^{(2+3(3))/(3)}=e^{(2+9)/(3)}`

`=e^{(11)/(3)}`

Hence, the simplified expression is
`e^{(11)/(3)}` .