Question

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

(a) (e3)(e4)
(b) (e3)4
(c) (e3)-2
(d) e0

Answer 1

a)
`e^(3)e^(4)=e^(7)`

b)
`(e^(3))^(4)=e^(12)`

c)
`(e^(3))^(-2)=e^(-6)`

d)
`e^(0)=1`

Explanation:

a) Here we can use the product of powers rule:
`x^(a)x^(b)=x^(a+b)`

`e^(3)e^(4)=e^(7)`

b) In this ca we use power of a power rule:
`(x^(a))^(b)=x^(a*b)`.

`(e^(3))^(4)=e^(12)`

c) We use the same rule above.

`(e^(3))^(-2)=e^(-6)`

d) Finally, we can use zero exponent rule:
`x^(0)=1`.

`e^(0)=1`

I hope it helps!