Question

Find the cube root of 1/1,000

Answer 1

we do the same as before.  Bear in mind that

1² = 1³ = 1⁴ = 1¹⁰⁰⁰⁰⁰⁰⁰⁰ = 1

$\bf \cfrac{1}{1000}~~\begin{cases}1^3=1\\1000=10^3\end{cases}\implies \sqrt[3]{\cfrac{1^3}{10^3}}\implies \cfrac{\sqrt[3]{1^3}}{\sqrt[3]{10^3}}\implies \cfrac{1}{10}$