Pre-Algebra Examples

${(u^{5})}^{- 4}$

Step 1

Multiply the exponents in ${(u^{5})}^{- 4}$ .

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Step 1.1

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

$u^{5 \cdot - 4}$

Step 1.2

Multiply $5$ by $- 4$ .

$u^{- 20}$

Step 2

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

$\frac{1}{u^{20}}$