Simplify 1/( cube root of 27^4)

$\frac{1}{\sqrt[3]{27^{4}}}$

Step 1

Raise $27$ to the power of $4$ .

$\frac{1}{\sqrt[3]{531441}}$

Step 2

Rewrite $531441$ as $81^{3}$ .

$\frac{1}{\sqrt[3]{81^{3}}}$

Step 3

Pull terms out from under the radical, assuming real numbers.

$\frac{1}{81}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{81}$

Decimal Form:

$0.01234567 \dots$