Convert to Radical Form 243^(-4/5)

$243^{- \frac{4}{5}}$

Step 1

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

$\frac{1}{243^{\frac{4}{5}}}$

Step 2

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\frac{1}{\sqrt[5]{243^{4}}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{\sqrt[5]{243^{4}}}$

Decimal Form:

$0.01234567 \dots$