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

Question

asked Sep 17, 2021 117k views

1 Answer

DigiLive · Answer 1 · 2021-09-23T05:27:36+0000

Answer:

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!