Precalculus Examples

${(2 y^{2})}^{4}$

Step 1

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

$2^{4} {(y^{2})}^{4}$

Step 2

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

$16 {(y^{2})}^{4}$

Step 3

Multiply the exponents in ${(y^{2})}^{4}$ .

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Step 3.1

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

$16 y^{2 \cdot 4}$

Step 3.2

Multiply $2$ by $4$ .

$16 y^{8}$