Calculus Examples

${(\frac{y^{2}}{2})}^{2}$

Step 1

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

$\frac{{(y^{2})}^{2}}{2^{2}}$

Step 2

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

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Step 2.1

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

$\frac{y^{2 \cdot 2}}{2^{2}}$

Step 2.2

Multiply $2$ by $2$ .

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

Step 3

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

$\frac{y^{4}}{4}$