Algebra Examples

$f (2) = 2 \cdot \frac{1}{2^{3 \cdot 2}}$

Step 1

Simplify the denominator.

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Step 1.1

Multiply $3$ by $2$ .

$f (2) = 2 \cdot \frac{1}{2^{6}}$

Step 1.2

Raise $2$ to the power of $6$ .

$f (2) = 2 \cdot \frac{1}{64}$

$f (2) = 2 \cdot \frac{1}{64}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $64$ .

$f (2) = 2 \cdot \frac{1}{2 (32)}$

Step 2.2

Cancel the common factor.

$f (2) = 2 \cdot \frac{1}{2 \cdot 32}$

Step 2.3

Rewrite the expression.

$f (2) = \frac{1}{32}$

$f (2) = \frac{1}{32}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$