Question

Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x.

Answer 1

Answer:

$F(4) = \frac {1}{256}$

Step-by-step explanation:

Given the following mathematical function;

$F(x) = \frac {1}{4^{x}}$

When x = 1

$F(1) = \frac {1}{4^{1}}$

$F(1) = \frac {1}{4}$

When x = 2

$F(2) = \frac {1}{4^{2}}$

$F(2) = \frac {1}{4*4}$

$F(2) = \frac {1}{16}$

When x = 3

$F(3) = \frac {1}{4^{3}}$

$F(3) = \frac {1}{4*4*4}$

$F(3) = \frac {1}{4*4*4}$

When x = 4

$F(4) = \frac {1}{4^{4}}$

$F(4) = \frac {1}{4*4*4*4}$

$F(4) = \frac {1}{256}$

When x = 5

$F(5) = \frac {1}{4^{5}}$

$F(5) = \frac {1}{4*4*4*4*4}$

$F(5) = \frac {1}{1024}$