Finite Math Examples

$y = {(\frac{1}{4})}^{x}$ , ${(\frac{1}{4})}^{1.7}$

Step 1

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

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Step 1.1

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

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

Step 1.2

One to any power is one.

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

Step 2

Replace the variable $y$ with $\frac{1}{4^{x}}$ in the expression.

${(\frac{1}{4})}^{1.7}$

Step 3

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

$\frac{1^{1.7}}{4^{1.7}}$

Step 4

One to any power is one.

$\frac{1}{4^{1.7}}$

Step 5

Raise $4$ to the power of $1.7$ .

$\frac{1}{10.55606328}$

Step 6

Divide $1$ by $10.55606328$ .

$0.09473228$