Question

Given the exponential function f(x)=b^x, show the following: f(u+v)=f(u) * f(v)

Answer 1

hint:

\[\Large a^{b+c} = a^b*a^c\]

Answer 2

\[F ^{u+v} ?\]

Answer 3

what is f(u+v) equal to?

Answer 4

ignore f(u+v)=f(u) * f(v) for a moment

Answer 5

im kind of confused. What am I supposed to do with the equation you just gave me?

Answer 6

\[ \large
f(x) = b^x \\ \large
f(\text{apples}) = b^{\text{apples}} \\ \large
f(u + v) = ?
\]

Answer 7

what is f(x)?

Answer 8

b^x?

Answer 9

what happens when you replace every copy of x with u+v

Answer 10

If f(x) = b^x then, for example,
f(2) = b^2. (We replace wherever there is 'x' with 2)
f(u+v) = ?

Answer 11

b^uv?

Answer 12

or b^u+b^v