Precalculus Examples

${(- 4 x^{7})}^{2}$

Step 1

Apply the product rule to $- 4 x^{7}$ .

${(- 4)}^{2} {(x^{7})}^{2}$

Step 2

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

$16 {(x^{7})}^{2}$

Step 3

Multiply the exponents in ${(x^{7})}^{2}$ .

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Step 3.1

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

$16 x^{7 \cdot 2}$

Step 3.2

Multiply $7$ by $2$ .

$16 x^{14}$