Write in Exponential Form 1/(( fourth root of n)^7)

$\frac{1}{{(\sqrt[4]{n})}^{7}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{n}$ as $n^{\frac{1}{4}}$ .

$\frac{1}{{(n^{\frac{1}{4}})}^{7}}$

Step 2

Multiply the exponents in ${(n^{\frac{1}{4}})}^{7}$ .

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

$\frac{1}{n^{\frac{1}{4} \cdot 7}}$

Combine $\frac{1}{4}$ and $7$ .

$\frac{1}{n^{\frac{7}{4}}}$