Calculus Examples

${(\frac{1}{4} x^{2})}^{2}$

Step 1

Combine $\frac{1}{4}$ and $x^{2}$ .

${(\frac{x^{2}}{4})}^{2}$

Step 2

Simplify the expression.

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Step 2.1

Apply the product rule to $\frac{x^{2}}{4}$ .

$\frac{{(x^{2})}^{2}}{4^{2}}$

Step 2.2

Multiply the exponents in ${(x^{2})}^{2}$ .

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Step 2.2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{x^{2 \cdot 2}}{4^{2}}$

Step 2.2.2

Multiply $2$ by $2$ .

$\frac{x^{4}}{4^{2}}$

Step 2.3

Raise $4$ to the power of $2$ .

$\frac{x^{4}}{16}$