Algebra Examples

$y = \frac{1}{4} {(4)}^{x}$ for $x = 5$

Step 1

Replace all occurrences of $x$ in $y = \frac{1}{4} \cdot 4^{x}$ with $5$ .

$y = \frac{1}{4} \cdot 4^{5}$

$x = 5$

Step 2

Simplify the right side.

Tap for more steps...

Step 2.1

Simplify $\frac{1}{4} \cdot 4^{5}$ .

Tap for more steps...

Step 2.1.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 2.1.1.1

Factor $4$ out of $4^{5}$ .

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

$x = 5$

Step 2.1.1.2

Cancel the common factor.

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

$x = 5$

Step 2.1.1.3

Rewrite the expression.

$y = 4^{4}$

$x = 5$

$y = 4^{4}$

$x = 5$

Step 2.1.2

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

$y = 256$

$x = 5$

$y = 256$

$x = 5$

$y = 256$

$x = 5$