Basic Math Examples

$12 b^{5 {(\frac{1}{2} b)}^{2}}$

Step 1

Combine $\frac{1}{2}$ and $b$ .

$12 b^{5 {(\frac{b}{2})}^{2}}$

Step 2

Simplify the expression.

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Step 2.1

Apply the product rule to $\frac{b}{2}$ .

$12 b^{5 \frac{b^{2}}{2^{2}}}$

Step 2.2

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

$12 b^{5 \frac{b^{2}}{4}}$

$12 b^{5 \frac{b^{2}}{4}}$

Step 3

Combine $5$ and $\frac{b^{2}}{4}$ .

$12 b^{\frac{5 b^{2}}{4}}$

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