Question

find the exponential function f(x)=a^x for a graph with the point (-3,8)?
would i start with 8=a^-3

Answer 1

Mmmmmmmmmmm, yes start there.
Hmm let's see.

Answer 2

\[\Large 8=\frac{1}{a^3}\]Understand what I did there?

Answer 3

Property of exponents:\[\Large x^{-n}\quad=\quad \frac{1}{x^n}\]

Answer 4

yeah i got that far but idk what to do next.

Answer 5

Solve for a! :)
Multiply both sides by a^3,\[\Large 8a^3=1\]Divide by 8,\[\Large a^3=\frac{1}{8}\]Take cube root,\[\Large a=?\]

Answer 6

1/2?

Answer 7

yesssss

Answer 8

cool :) thanks