Algebra Examples

${(n^{- 6} \cdot n^{5})}^{\frac{1}{4}}$

Step 1

Multiply $n^{- 6}$ by $n^{5}$ by adding the exponents.

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Step 1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${(n^{- 6 + 5})}^{\frac{1}{4}}$

Step 1.2

Add $- 6$ and $5$ .

${(n^{- 1})}^{\frac{1}{4}}$

Step 2

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

$n^{- \frac{1}{4}}$

Step 3

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

$\frac{1}{n^{\frac{1}{4}}}$