Precalculus Examples

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

Step 1

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

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

Step 2

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

$\frac{16}{{(x^{2})}^{2}}$

Step 3

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

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Step 3.1

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

$\frac{16}{x^{2 \cdot 2}}$

Step 3.2

Multiply $2$ by $2$ .

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