Convert to Radical Form 1000^(-5/3)

$1000^{- \frac{5}{3}}$

Step 1

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

$\frac{1}{1000^{\frac{5}{3}}}$

Step 2

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

$\frac{1}{\sqrt[3]{1000^{5}}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{\sqrt[3]{1000^{5}}}$

Decimal Form:

$1 \cdot 10^{- 5}$