Evaluating an exponential function is two moves in a fixed order: raise the base to the power, then multiply by the coefficient out front. These free printable worksheets ask for the value of f(x) = a·bˣ at a given x, and nothing else.
For f(x) = 3 · 2ˣ at x = 4, the power comes first — 2⁴ = 16 — and then the coefficient — 3 · 16 = 48. The order is the whole lesson: doing the multiply first and computing (3 · 2)⁴ is the mistake worth catching, and it is a big miss, so every step-by-step walk here settles the power before it touches the 3. Where the combined exponential-functions sheet also runs the skill backwards to find an exponent, this page stays on evaluation so the power-then-multiply order becomes automatic.
Why this sheet works
The coefficient in front is what makes this a function rather than a bare power: a·bˣ starts at a and grows by a factor of b each time x rises by one. It is worth naming b⁰ = 1 here too, because f(0) is then just the coefficient a — a check a child can do in their head.
How this one works
One question from this sheet, worked through a step at a time.
