Algebra Examples

${(p^{3} q)}^{- 4}$

Step 1

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

$\frac{1}{{(p^{3} q)}^{4}}$

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $p^{3} q$ .

$\frac{1}{{(p^{3})}^{4} q^{4}}$

Step 2.2

Multiply the exponents in ${(p^{3})}^{4}$ .

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Step 2.2.1

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

$\frac{1}{p^{3 \cdot 4} q^{4}}$

Step 2.2.2

Multiply $3$ by $4$ .

$\frac{1}{p^{12} q^{4}}$