Question

Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.

(a) (1/e)^-2
(b) (e5/e2)^-1
(c) e^5/e^3
(d) 1/e^-3

Answer 1

(A)
`e^2`

(b)
`e^(-3)`

(c)
`e^2`

(d)
`e^3`

Explanation:

We have given expression and we have to simplify the expression using exponent property

(A)
`((1)/(e))^(-2)`

So
`((1)/(e))^(-2)=(1)/(e^(-2))=e^2`

(b)
`((e^5)/(e^2))^(-1)`

So
`((e^5)/(e^2))^(-1)=(e^(3))^(-1)=e^(-3)`

(c)
`(e^5)/(e^3)`

So
`(e^5)/(e^3)=e^2`

(d)
`(1)/(e^(-3))=e^3`