Precalculus Examples

${(- 12 x^{5})}^{- 2}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{{(- 12 x^{5})}^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $- 12 x^{5}$ .

$\frac{1}{{(- 12)}^{2} {(x^{5})}^{2}}$

Step 2.2

Raise $- 12$ to the power of $2$ .

$\frac{1}{144 {(x^{5})}^{2}}$

Step 2.3

Multiply the exponents in ${(x^{5})}^{2}$ .

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Step 2.3.1

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

$\frac{1}{144 x^{5 \cdot 2}}$

Step 2.3.2

Multiply $5$ by $2$ .

$\frac{1}{144 x^{10}}$