Algebra Examples

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

Step 1

Simplify ${(\frac{1}{4})}^{x}$ .

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Apply the product rule to $\frac{1}{4}$ .

$y = \frac{1^{x}}{4^{x}}$

One to any power is one.

$y = \frac{1}{4^{x}}$

Step 2

Graph the equation in order to determine the intervals over which it is increasing or decreasing.

Always Decreasing

Step 3